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Finding the Fourth Proportional to 1,538, 2,307.06 and 614

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Solution

The fourth proportional to 1,538, 2,307.06 and 614 is: 921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538 : 2,307.06 = 614 : x
  2. Step 2: Convert to fraction form
    1,538/2,307.06 = 614/x
  3. Step 3: Cross multiply
    1,538x = 2,307.06 × 614
  4. Step 4: Simplify right side
    1,538x = 1,416,534.84
  5. Step 5: Solve for x
    x = 1,416,534.84/1,538
  6. Step 6: Final answer
    x = 921.02

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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.