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Finding the Fourth Proportional to 2,904.76, 4,009.80 and 1,858.24

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Solution

The fourth proportional to 2,904.76, 4,009.80 and 1,858.24 is: 2,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.76 : 4,009.80 = 1,858.24 : x
  2. Step 2: Convert to fraction form
    2,904.76/4,009.80 = 1,858.24/x
  3. Step 3: Cross multiply
    2,904.76x = 4,009.80 × 1,858.24
  4. Step 4: Simplify right side
    2,904.76x = 7,451,170.75
  5. Step 5: Solve for x
    x = 7,451,170.75/2,904.76
  6. Step 6: Final answer
    x = 2,565.16

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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.