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Finding the Fourth Proportional to 2,365.13, 3,543.80 and 1,437.89

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Solution

The fourth proportional to 2,365.13, 3,543.80 and 1,437.89 is: 2,154.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.13 : 3,543.80 = 1,437.89 : x
  2. Step 2: Convert to fraction form
    2,365.13/3,543.80 = 1,437.89/x
  3. Step 3: Cross multiply
    2,365.13x = 3,543.80 × 1,437.89
  4. Step 4: Simplify right side
    2,365.13x = 5,095,569.67
  5. Step 5: Solve for x
    x = 5,095,569.67/2,365.13
  6. Step 6: Final answer
    x = 2,154.45

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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.