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Finding the Fourth Proportional to 3,114.61, 4,671.90 and 1,034.77

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Solution

The fourth proportional to 3,114.61, 4,671.90 and 1,034.77 is: 1,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.61 : 4,671.90 = 1,034.77 : x
  2. Step 2: Convert to fraction form
    3,114.61/4,671.90 = 1,034.77/x
  3. Step 3: Cross multiply
    3,114.61x = 4,671.90 × 1,034.77
  4. Step 4: Simplify right side
    3,114.61x = 4,834,313.43
  5. Step 5: Solve for x
    x = 4,834,313.43/3,114.61
  6. Step 6: Final answer
    x = 1,552.14

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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.