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Finding the Fourth Proportional to 1,807.72, 2,705.10 and 1,565.08

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Solution

The fourth proportional to 1,807.72, 2,705.10 and 1,565.08 is: 2,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.72 : 2,705.10 = 1,565.08 : x
  2. Step 2: Convert to fraction form
    1,807.72/2,705.10 = 1,565.08/x
  3. Step 3: Cross multiply
    1,807.72x = 2,705.10 × 1,565.08
  4. Step 4: Simplify right side
    1,807.72x = 4,233,697.91
  5. Step 5: Solve for x
    x = 4,233,697.91/1,807.72
  6. Step 6: Final answer
    x = 2,342.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.