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Finding the Fourth Proportional to 2,703.64, 3,731.58 and 1,585.16

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Solution

The fourth proportional to 2,703.64, 3,731.58 and 1,585.16 is: 2,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.64 : 3,731.58 = 1,585.16 : x
  2. Step 2: Convert to fraction form
    2,703.64/3,731.58 = 1,585.16/x
  3. Step 3: Cross multiply
    2,703.64x = 3,731.58 × 1,585.16
  4. Step 4: Simplify right side
    2,703.64x = 5,915,151.35
  5. Step 5: Solve for x
    x = 5,915,151.35/2,703.64
  6. Step 6: Final answer
    x = 2,187.85

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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.