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Finding the Fourth Proportional to 1,547.31, 2,135.30 and 958.20

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Solution

The fourth proportional to 1,547.31, 2,135.30 and 958.20 is: 1,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.31 : 2,135.30 = 958.20 : x
  2. Step 2: Convert to fraction form
    1,547.31/2,135.30 = 958.20/x
  3. Step 3: Cross multiply
    1,547.31x = 2,135.30 × 958.20
  4. Step 4: Simplify right side
    1,547.31x = 2,046,044.46
  5. Step 5: Solve for x
    x = 2,046,044.46/1,547.31
  6. Step 6: Final answer
    x = 1,322.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.