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Finding the Fourth Proportional to 1,732.08, 2,597.28 and 910.14

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Solution

The fourth proportional to 1,732.08, 2,597.28 and 910.14 is: 1,364.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.08 : 2,597.28 = 910.14 : x
  2. Step 2: Convert to fraction form
    1,732.08/2,597.28 = 910.14/x
  3. Step 3: Cross multiply
    1,732.08x = 2,597.28 × 910.14
  4. Step 4: Simplify right side
    1,732.08x = 2,363,888.42
  5. Step 5: Solve for x
    x = 2,363,888.42/1,732.08
  6. Step 6: Final answer
    x = 1,364.77

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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.