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Finding the Fourth Proportional to 1,624.88, 2,242.04 and 961.50

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Solution

The fourth proportional to 1,624.88, 2,242.04 and 961.50 is: 1,326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.88 : 2,242.04 = 961.50 : x
  2. Step 2: Convert to fraction form
    1,624.88/2,242.04 = 961.50/x
  3. Step 3: Cross multiply
    1,624.88x = 2,242.04 × 961.50
  4. Step 4: Simplify right side
    1,624.88x = 2,155,721.46
  5. Step 5: Solve for x
    x = 2,155,721.46/1,624.88
  6. Step 6: Final answer
    x = 1,326.70

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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.