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Finding the Fourth Proportional to 2,124.76, 3,186.68 and 1,506.74

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Solution

The fourth proportional to 2,124.76, 3,186.68 and 1,506.74 is: 2,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.76 : 3,186.68 = 1,506.74 : x
  2. Step 2: Convert to fraction form
    2,124.76/3,186.68 = 1,506.74/x
  3. Step 3: Cross multiply
    2,124.76x = 3,186.68 × 1,506.74
  4. Step 4: Simplify right side
    2,124.76x = 4,801,498.22
  5. Step 5: Solve for x
    x = 4,801,498.22/2,124.76
  6. Step 6: Final answer
    x = 2,259.78

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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.