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Finding the Fourth Proportional to 1,531.98, 2,294.50 and 976.70

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Solution

The fourth proportional to 1,531.98, 2,294.50 and 976.70 is: 1,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.98 : 2,294.50 = 976.70 : x
  2. Step 2: Convert to fraction form
    1,531.98/2,294.50 = 976.70/x
  3. Step 3: Cross multiply
    1,531.98x = 2,294.50 × 976.70
  4. Step 4: Simplify right side
    1,531.98x = 2,241,038.15
  5. Step 5: Solve for x
    x = 2,241,038.15/1,531.98
  6. Step 6: Final answer
    x = 1,462.84

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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.