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Finding the Fourth Proportional to 1,658.66, 2,482.70 and 1,043.06

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Solution

The fourth proportional to 1,658.66, 2,482.70 and 1,043.06 is: 1,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.66 : 2,482.70 = 1,043.06 : x
  2. Step 2: Convert to fraction form
    1,658.66/2,482.70 = 1,043.06/x
  3. Step 3: Cross multiply
    1,658.66x = 2,482.70 × 1,043.06
  4. Step 4: Simplify right side
    1,658.66x = 2,589,605.06
  5. Step 5: Solve for x
    x = 2,589,605.06/1,658.66
  6. Step 6: Final answer
    x = 1,561.26

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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.