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Finding the Fourth Proportional to 2,750.40, 4,126.56 and 802.72

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Solution

The fourth proportional to 2,750.40, 4,126.56 and 802.72 is: 1,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.40 : 4,126.56 = 802.72 : x
  2. Step 2: Convert to fraction form
    2,750.40/4,126.56 = 802.72/x
  3. Step 3: Cross multiply
    2,750.40x = 4,126.56 × 802.72
  4. Step 4: Simplify right side
    2,750.40x = 3,312,472.24
  5. Step 5: Solve for x
    x = 3,312,472.24/2,750.40
  6. Step 6: Final answer
    x = 1,204.36

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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.