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Finding the Fourth Proportional to 2,444.16, 3,666.23 and 595.29

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Solution

The fourth proportional to 2,444.16, 3,666.23 and 595.29 is: 892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.16 : 3,666.23 = 595.29 : x
  2. Step 2: Convert to fraction form
    2,444.16/3,666.23 = 595.29/x
  3. Step 3: Cross multiply
    2,444.16x = 3,666.23 × 595.29
  4. Step 4: Simplify right side
    2,444.16x = 2,182,470.06
  5. Step 5: Solve for x
    x = 2,182,470.06/2,444.16
  6. Step 6: Final answer
    x = 892.93

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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.