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Finding the Fourth Proportional to 1,642.32, 2,470.04 and 1,493.36

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Solution

The fourth proportional to 1,642.32, 2,470.04 and 1,493.36 is: 2,246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.32 : 2,470.04 = 1,493.36 : x
  2. Step 2: Convert to fraction form
    1,642.32/2,470.04 = 1,493.36/x
  3. Step 3: Cross multiply
    1,642.32x = 2,470.04 × 1,493.36
  4. Step 4: Simplify right side
    1,642.32x = 3,688,658.93
  5. Step 5: Solve for x
    x = 3,688,658.93/1,642.32
  6. Step 6: Final answer
    x = 2,246.01

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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.