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Finding the Fourth Proportional to 2,482.65, 3,718.51 and 1,657.06

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Solution

The fourth proportional to 2,482.65, 3,718.51 and 1,657.06 is: 2,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.65 : 3,718.51 = 1,657.06 : x
  2. Step 2: Convert to fraction form
    2,482.65/3,718.51 = 1,657.06/x
  3. Step 3: Cross multiply
    2,482.65x = 3,718.51 × 1,657.06
  4. Step 4: Simplify right side
    2,482.65x = 6,161,794.18
  5. Step 5: Solve for x
    x = 6,161,794.18/2,482.65
  6. Step 6: Final answer
    x = 2,481.94

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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.