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Finding the Fourth Proportional to 1,506.00, 2,077.72 and 938.58

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Solution

The fourth proportional to 1,506.00, 2,077.72 and 938.58 is: 1,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.00 : 2,077.72 = 938.58 : x
  2. Step 2: Convert to fraction form
    1,506.00/2,077.72 = 938.58/x
  3. Step 3: Cross multiply
    1,506.00x = 2,077.72 × 938.58
  4. Step 4: Simplify right side
    1,506.00x = 1,950,099.82
  5. Step 5: Solve for x
    x = 1,950,099.82/1,506.00
  6. Step 6: Final answer
    x = 1,294.89

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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.