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Finding the Fourth Proportional to 2,614.47, 3,919.77 and 970.71

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Solution

The fourth proportional to 2,614.47, 3,919.77 and 970.71 is: 1,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.47 : 3,919.77 = 970.71 : x
  2. Step 2: Convert to fraction form
    2,614.47/3,919.77 = 970.71/x
  3. Step 3: Cross multiply
    2,614.47x = 3,919.77 × 970.71
  4. Step 4: Simplify right side
    2,614.47x = 3,804,959.94
  5. Step 5: Solve for x
    x = 3,804,959.94/2,614.47
  6. Step 6: Final answer
    x = 1,455.35

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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.