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Finding the Fourth Proportional to 2,124.47, 3,186.10 and 892.16

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Solution

The fourth proportional to 2,124.47, 3,186.10 and 892.16 is: 1,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.47 : 3,186.10 = 892.16 : x
  2. Step 2: Convert to fraction form
    2,124.47/3,186.10 = 892.16/x
  3. Step 3: Cross multiply
    2,124.47x = 3,186.10 × 892.16
  4. Step 4: Simplify right side
    2,124.47x = 2,842,492.82
  5. Step 5: Solve for x
    x = 2,842,492.82/2,124.47
  6. Step 6: Final answer
    x = 1,337.98

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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.