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Finding the Fourth Proportional to 2,802.64, 3,867.66 and 1,543.70

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Solution

The fourth proportional to 2,802.64, 3,867.66 and 1,543.70 is: 2,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.64 : 3,867.66 = 1,543.70 : x
  2. Step 2: Convert to fraction form
    2,802.64/3,867.66 = 1,543.70/x
  3. Step 3: Cross multiply
    2,802.64x = 3,867.66 × 1,543.70
  4. Step 4: Simplify right side
    2,802.64x = 5,970,502.25
  5. Step 5: Solve for x
    x = 5,970,502.25/2,802.64
  6. Step 6: Final answer
    x = 2,130.32

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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.