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Finding the Fourth Proportional to 1,632.49, 2,252.00 and 1,042.40

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Solution

The fourth proportional to 1,632.49, 2,252.00 and 1,042.40 is: 1,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.49 : 2,252.00 = 1,042.40 : x
  2. Step 2: Convert to fraction form
    1,632.49/2,252.00 = 1,042.40/x
  3. Step 3: Cross multiply
    1,632.49x = 2,252.00 × 1,042.40
  4. Step 4: Simplify right side
    1,632.49x = 2,347,479.59
  5. Step 5: Solve for x
    x = 2,347,479.59/1,632.49
  6. Step 6: Final answer
    x = 1,437.98

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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.