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Finding the Fourth Proportional to 1,549.40, 2,323.65 and 562.07

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Solution

The fourth proportional to 1,549.40, 2,323.65 and 562.07 is: 842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.40 : 2,323.65 = 562.07 : x
  2. Step 2: Convert to fraction form
    1,549.40/2,323.65 = 562.07/x
  3. Step 3: Cross multiply
    1,549.40x = 2,323.65 × 562.07
  4. Step 4: Simplify right side
    1,549.40x = 1,306,053.96
  5. Step 5: Solve for x
    x = 1,306,053.96/1,549.40
  6. Step 6: Final answer
    x = 842.94

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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.