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Finding the Fourth Proportional to 2,124.65, 3,187.65 and 1,029.13

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Solution

The fourth proportional to 2,124.65, 3,187.65 and 1,029.13 is: 1,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.65 : 3,187.65 = 1,029.13 : x
  2. Step 2: Convert to fraction form
    2,124.65/3,187.65 = 1,029.13/x
  3. Step 3: Cross multiply
    2,124.65x = 3,187.65 × 1,029.13
  4. Step 4: Simplify right side
    2,124.65x = 3,280,506.24
  5. Step 5: Solve for x
    x = 3,280,506.24/2,124.65
  6. Step 6: Final answer
    x = 1,544.02

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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.