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Finding the Fourth Proportional to 1,426.55, 1,967.76 and 902.57

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Solution

The fourth proportional to 1,426.55, 1,967.76 and 902.57 is: 1,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.55 : 1,967.76 = 902.57 : x
  2. Step 2: Convert to fraction form
    1,426.55/1,967.76 = 902.57/x
  3. Step 3: Cross multiply
    1,426.55x = 1,967.76 × 902.57
  4. Step 4: Simplify right side
    1,426.55x = 1,776,031.30
  5. Step 5: Solve for x
    x = 1,776,031.30/1,426.55
  6. Step 6: Final answer
    x = 1,244.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.