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Finding the Fourth Proportional to 2,365.86, 3,545.13 and 1,498.35

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Solution

The fourth proportional to 2,365.86, 3,545.13 and 1,498.35 is: 2,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.86 : 3,545.13 = 1,498.35 : x
  2. Step 2: Convert to fraction form
    2,365.86/3,545.13 = 1,498.35/x
  3. Step 3: Cross multiply
    2,365.86x = 3,545.13 × 1,498.35
  4. Step 4: Simplify right side
    2,365.86x = 5,311,827.81
  5. Step 5: Solve for x
    x = 5,311,827.81/2,365.86
  6. Step 6: Final answer
    x = 2,245.20

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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.