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Finding the Fourth Proportional to 2,854.40, 4,276.91 and 1,756.45

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Solution

The fourth proportional to 2,854.40, 4,276.91 and 1,756.45 is: 2,631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.40 : 4,276.91 = 1,756.45 : x
  2. Step 2: Convert to fraction form
    2,854.40/4,276.91 = 1,756.45/x
  3. Step 3: Cross multiply
    2,854.40x = 4,276.91 × 1,756.45
  4. Step 4: Simplify right side
    2,854.40x = 7,512,172.27
  5. Step 5: Solve for x
    x = 7,512,172.27/2,854.40
  6. Step 6: Final answer
    x = 2,631.78

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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.