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Finding the Fourth Proportional to 1,542.90, 2,312.46 and 957

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Solution

The fourth proportional to 1,542.90, 2,312.46 and 957 is: 1,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.90 : 2,312.46 = 957 : x
  2. Step 2: Convert to fraction form
    1,542.90/2,312.46 = 957/x
  3. Step 3: Cross multiply
    1,542.90x = 2,312.46 × 957
  4. Step 4: Simplify right side
    1,542.90x = 2,213,024.22
  5. Step 5: Solve for x
    x = 2,213,024.22/1,542.90
  6. Step 6: Final answer
    x = 1,434.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.