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Finding the Fourth Proportional to 1,686.42, 2,498.04 and 1,666.98

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Solution

The fourth proportional to 1,686.42, 2,498.04 and 1,666.98 is: 2,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.42 : 2,498.04 = 1,666.98 : x
  2. Step 2: Convert to fraction form
    1,686.42/2,498.04 = 1,666.98/x
  3. Step 3: Cross multiply
    1,686.42x = 2,498.04 × 1,666.98
  4. Step 4: Simplify right side
    1,686.42x = 4,164,182.72
  5. Step 5: Solve for x
    x = 4,164,182.72/1,686.42
  6. Step 6: Final answer
    x = 2,469.24

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.