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Finding the Fourth Proportional to 3,374.85, 4,657.16 and 1,882.77

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Solution

The fourth proportional to 3,374.85, 4,657.16 and 1,882.77 is: 2,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.85 : 4,657.16 = 1,882.77 : x
  2. Step 2: Convert to fraction form
    3,374.85/4,657.16 = 1,882.77/x
  3. Step 3: Cross multiply
    3,374.85x = 4,657.16 × 1,882.77
  4. Step 4: Simplify right side
    3,374.85x = 8,768,361.13
  5. Step 5: Solve for x
    x = 8,768,361.13/3,374.85
  6. Step 6: Final answer
    x = 2,598.15

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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.