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Finding the Fourth Proportional to 1,256.69, 1,881.51 and 947.57

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Solution

The fourth proportional to 1,256.69, 1,881.51 and 947.57 is: 1,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.69 : 1,881.51 = 947.57 : x
  2. Step 2: Convert to fraction form
    1,256.69/1,881.51 = 947.57/x
  3. Step 3: Cross multiply
    1,256.69x = 1,881.51 × 947.57
  4. Step 4: Simplify right side
    1,256.69x = 1,782,862.43
  5. Step 5: Solve for x
    x = 1,782,862.43/1,256.69
  6. Step 6: Final answer
    x = 1,418.70

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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.