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Finding the Fourth Proportional to 3,124.84, 4,686.72 and 1,176.70

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Solution

The fourth proportional to 3,124.84, 4,686.72 and 1,176.70 is: 1,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.84 : 4,686.72 = 1,176.70 : x
  2. Step 2: Convert to fraction form
    3,124.84/4,686.72 = 1,176.70/x
  3. Step 3: Cross multiply
    3,124.84x = 4,686.72 × 1,176.70
  4. Step 4: Simplify right side
    3,124.84x = 5,514,863.42
  5. Step 5: Solve for x
    x = 5,514,863.42/3,124.84
  6. Step 6: Final answer
    x = 1,764.85

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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.