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Finding the Fourth Proportional to 2,598.13, 3,914.54 and 2,351.65

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Solution

The fourth proportional to 2,598.13, 3,914.54 and 2,351.65 is: 3,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.13 : 3,914.54 = 2,351.65 : x
  2. Step 2: Convert to fraction form
    2,598.13/3,914.54 = 2,351.65/x
  3. Step 3: Cross multiply
    2,598.13x = 3,914.54 × 2,351.65
  4. Step 4: Simplify right side
    2,598.13x = 9,205,627.99
  5. Step 5: Solve for x
    x = 9,205,627.99/2,598.13
  6. Step 6: Final answer
    x = 3,543.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.