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Finding the Fourth Proportional to 1,730.32, 2,387.06 and 1,257

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Solution

The fourth proportional to 1,730.32, 2,387.06 and 1,257 is: 1,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.32 : 2,387.06 = 1,257 : x
  2. Step 2: Convert to fraction form
    1,730.32/2,387.06 = 1,257/x
  3. Step 3: Cross multiply
    1,730.32x = 2,387.06 × 1,257
  4. Step 4: Simplify right side
    1,730.32x = 3,000,534.42
  5. Step 5: Solve for x
    x = 3,000,534.42/1,730.32
  6. Step 6: Final answer
    x = 1,734.09

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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.