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Finding the Fourth Proportional to 1,985.01, 2,978.00 and 686.49

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Solution

The fourth proportional to 1,985.01, 2,978.00 and 686.49 is: 1,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.01 : 2,978.00 = 686.49 : x
  2. Step 2: Convert to fraction form
    1,985.01/2,978.00 = 686.49/x
  3. Step 3: Cross multiply
    1,985.01x = 2,978.00 × 686.49
  4. Step 4: Simplify right side
    1,985.01x = 2,044,363.79
  5. Step 5: Solve for x
    x = 2,044,363.79/1,985.01
  6. Step 6: Final answer
    x = 1,029.90

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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.