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Finding the Fourth Proportional to 1,661.10, 2,490.66 and 686.67

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Solution

The fourth proportional to 1,661.10, 2,490.66 and 686.67 is: 1,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.10 : 2,490.66 = 686.67 : x
  2. Step 2: Convert to fraction form
    1,661.10/2,490.66 = 686.67/x
  3. Step 3: Cross multiply
    1,661.10x = 2,490.66 × 686.67
  4. Step 4: Simplify right side
    1,661.10x = 1,710,261.50
  5. Step 5: Solve for x
    x = 1,710,261.50/1,661.10
  6. Step 6: Final answer
    x = 1,029.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.