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Finding the Fourth Proportional to 2,656.02, 3,987.68 and 1,686.45

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Solution

The fourth proportional to 2,656.02, 3,987.68 and 1,686.45 is: 2,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.02 : 3,987.68 = 1,686.45 : x
  2. Step 2: Convert to fraction form
    2,656.02/3,987.68 = 1,686.45/x
  3. Step 3: Cross multiply
    2,656.02x = 3,987.68 × 1,686.45
  4. Step 4: Simplify right side
    2,656.02x = 6,725,014.50
  5. Step 5: Solve for x
    x = 6,725,014.50/2,656.02
  6. Step 6: Final answer
    x = 2,531.99

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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.