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Finding the Fourth Proportional to 1,527.75, 2,290.48 and 978.87

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Solution

The fourth proportional to 1,527.75, 2,290.48 and 978.87 is: 1,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.75 : 2,290.48 = 978.87 : x
  2. Step 2: Convert to fraction form
    1,527.75/2,290.48 = 978.87/x
  3. Step 3: Cross multiply
    1,527.75x = 2,290.48 × 978.87
  4. Step 4: Simplify right side
    1,527.75x = 2,242,082.16
  5. Step 5: Solve for x
    x = 2,242,082.16/1,527.75
  6. Step 6: Final answer
    x = 1,467.57

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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.