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Finding the Fourth Proportional to 1,624.58, 2,242.13 and 1,065.52

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Solution

The fourth proportional to 1,624.58, 2,242.13 and 1,065.52 is: 1,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.58 : 2,242.13 = 1,065.52 : x
  2. Step 2: Convert to fraction form
    1,624.58/2,242.13 = 1,065.52/x
  3. Step 3: Cross multiply
    1,624.58x = 2,242.13 × 1,065.52
  4. Step 4: Simplify right side
    1,624.58x = 2,389,017.82
  5. Step 5: Solve for x
    x = 2,389,017.82/1,624.58
  6. Step 6: Final answer
    x = 1,470.54

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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.