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Finding the Fourth Proportional to 1,416.47, 2,124.90 and 492.12

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Solution

The fourth proportional to 1,416.47, 2,124.90 and 492.12 is: 738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.47 : 2,124.90 = 492.12 : x
  2. Step 2: Convert to fraction form
    1,416.47/2,124.90 = 492.12/x
  3. Step 3: Cross multiply
    1,416.47x = 2,124.90 × 492.12
  4. Step 4: Simplify right side
    1,416.47x = 1,045,705.79
  5. Step 5: Solve for x
    x = 1,045,705.79/1,416.47
  6. Step 6: Final answer
    x = 738.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.