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Finding the Fourth Proportional to 3,036.83, 4,188.74 and 1,919.16

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Solution

The fourth proportional to 3,036.83, 4,188.74 and 1,919.16 is: 2,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.83 : 4,188.74 = 1,919.16 : x
  2. Step 2: Convert to fraction form
    3,036.83/4,188.74 = 1,919.16/x
  3. Step 3: Cross multiply
    3,036.83x = 4,188.74 × 1,919.16
  4. Step 4: Simplify right side
    3,036.83x = 8,038,852.66
  5. Step 5: Solve for x
    x = 8,038,852.66/3,036.83
  6. Step 6: Final answer
    x = 2,647.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.