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Finding the Fourth Proportional to 2,565.60, 3,538.96 and 1,809.28

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Solution

The fourth proportional to 2,565.60, 3,538.96 and 1,809.28 is: 2,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.60 : 3,538.96 = 1,809.28 : x
  2. Step 2: Convert to fraction form
    2,565.60/3,538.96 = 1,809.28/x
  3. Step 3: Cross multiply
    2,565.60x = 3,538.96 × 1,809.28
  4. Step 4: Simplify right side
    2,565.60x = 6,402,969.55
  5. Step 5: Solve for x
    x = 6,402,969.55/2,565.60
  6. Step 6: Final answer
    x = 2,495.70

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