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Finding the Fourth Proportional to 1,565.49, 2,158.07 and 1,233.26

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Solution

The fourth proportional to 1,565.49, 2,158.07 and 1,233.26 is: 1,700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.49 : 2,158.07 = 1,233.26 : x
  2. Step 2: Convert to fraction form
    1,565.49/2,158.07 = 1,233.26/x
  3. Step 3: Cross multiply
    1,565.49x = 2,158.07 × 1,233.26
  4. Step 4: Simplify right side
    1,565.49x = 2,661,444.45
  5. Step 5: Solve for x
    x = 2,661,444.45/1,565.49
  6. Step 6: Final answer
    x = 1,700.07

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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.