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Finding the Fourth Proportional to 2,802.81, 3,867.93 and 1,543.89

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Solution

The fourth proportional to 2,802.81, 3,867.93 and 1,543.89 is: 2,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.81 : 3,867.93 = 1,543.89 : x
  2. Step 2: Convert to fraction form
    2,802.81/3,867.93 = 1,543.89/x
  3. Step 3: Cross multiply
    2,802.81x = 3,867.93 × 1,543.89
  4. Step 4: Simplify right side
    2,802.81x = 5,971,658.45
  5. Step 5: Solve for x
    x = 5,971,658.45/2,802.81
  6. Step 6: Final answer
    x = 2,130.60

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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.