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Finding the Fourth Proportional to 3,101.68, 4,681.69 and 3,101.68

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Solution

The fourth proportional to 3,101.68, 4,681.69 and 3,101.68 is: 4,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.68 : 4,681.69 = 3,101.68 : x
  2. Step 2: Convert to fraction form
    3,101.68/4,681.69 = 3,101.68/x
  3. Step 3: Cross multiply
    3,101.68x = 4,681.69 × 3,101.68
  4. Step 4: Simplify right side
    3,101.68x = 14,521,104.24
  5. Step 5: Solve for x
    x = 14,521,104.24/3,101.68
  6. Step 6: Final answer
    x = 4,681.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.