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Finding the Fourth Proportional to 1,610.64, 2,416.74 and 686.46

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Solution

The fourth proportional to 1,610.64, 2,416.74 and 686.46 is: 1,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.64 : 2,416.74 = 686.46 : x
  2. Step 2: Convert to fraction form
    1,610.64/2,416.74 = 686.46/x
  3. Step 3: Cross multiply
    1,610.64x = 2,416.74 × 686.46
  4. Step 4: Simplify right side
    1,610.64x = 1,658,995.34
  5. Step 5: Solve for x
    x = 1,658,995.34/1,610.64
  6. Step 6: Final answer
    x = 1,030.02

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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.