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Finding the Fourth Proportional to 2,869.68, 4,307.76 and 1,139.52

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Solution

The fourth proportional to 2,869.68, 4,307.76 and 1,139.52 is: 1,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.68 : 4,307.76 = 1,139.52 : x
  2. Step 2: Convert to fraction form
    2,869.68/4,307.76 = 1,139.52/x
  3. Step 3: Cross multiply
    2,869.68x = 4,307.76 × 1,139.52
  4. Step 4: Simplify right side
    2,869.68x = 4,908,778.68
  5. Step 5: Solve for x
    x = 4,908,778.68/2,869.68
  6. Step 6: Final answer
    x = 1,710.57

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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.