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Finding the Fourth Proportional to 1,526.74, 2,293.78 and 980

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Solution

The fourth proportional to 1,526.74, 2,293.78 and 980 is: 1,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.74 : 2,293.78 = 980 : x
  2. Step 2: Convert to fraction form
    1,526.74/2,293.78 = 980/x
  3. Step 3: Cross multiply
    1,526.74x = 2,293.78 × 980
  4. Step 4: Simplify right side
    1,526.74x = 2,247,904.40
  5. Step 5: Solve for x
    x = 2,247,904.40/1,526.74
  6. Step 6: Final answer
    x = 1,472.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.