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Finding the Fourth Proportional to 2,365.90, 3,543.44 and 1,134.18

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Solution

The fourth proportional to 2,365.90, 3,543.44 and 1,134.18 is: 1,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.90 : 3,543.44 = 1,134.18 : x
  2. Step 2: Convert to fraction form
    2,365.90/3,543.44 = 1,134.18/x
  3. Step 3: Cross multiply
    2,365.90x = 3,543.44 × 1,134.18
  4. Step 4: Simplify right side
    2,365.90x = 4,018,893.11
  5. Step 5: Solve for x
    x = 4,018,893.11/2,365.90
  6. Step 6: Final answer
    x = 1,698.68

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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.