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Finding the Fourth Proportional to 1,512.16, 2,266.68 and 895.76

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Solution

The fourth proportional to 1,512.16, 2,266.68 and 895.76 is: 1,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.16 : 2,266.68 = 895.76 : x
  2. Step 2: Convert to fraction form
    1,512.16/2,266.68 = 895.76/x
  3. Step 3: Cross multiply
    1,512.16x = 2,266.68 × 895.76
  4. Step 4: Simplify right side
    1,512.16x = 2,030,401.28
  5. Step 5: Solve for x
    x = 2,030,401.28/1,512.16
  6. Step 6: Final answer
    x = 1,342.72

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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.