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Finding the Fourth Proportional to 1,534.84, 2,301.24 and 917

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Solution

The fourth proportional to 1,534.84, 2,301.24 and 917 is: 1,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.84 : 2,301.24 = 917 : x
  2. Step 2: Convert to fraction form
    1,534.84/2,301.24 = 917/x
  3. Step 3: Cross multiply
    1,534.84x = 2,301.24 × 917
  4. Step 4: Simplify right side
    1,534.84x = 2,110,237.08
  5. Step 5: Solve for x
    x = 2,110,237.08/1,534.84
  6. Step 6: Final answer
    x = 1,374.89

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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.