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Finding the Fourth Proportional to 2,343.65, 3,509.96 and 1,857.02

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Solution

The fourth proportional to 2,343.65, 3,509.96 and 1,857.02 is: 2,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.65 : 3,509.96 = 1,857.02 : x
  2. Step 2: Convert to fraction form
    2,343.65/3,509.96 = 1,857.02/x
  3. Step 3: Cross multiply
    2,343.65x = 3,509.96 × 1,857.02
  4. Step 4: Simplify right side
    2,343.65x = 6,518,039.08
  5. Step 5: Solve for x
    x = 6,518,039.08/2,343.65
  6. Step 6: Final answer
    x = 2,781.15

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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.