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Finding the Fourth Proportional to 1,666.58, 2,499.15 and 886.40

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Solution

The fourth proportional to 1,666.58, 2,499.15 and 886.40 is: 1,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.58 : 2,499.15 = 886.40 : x
  2. Step 2: Convert to fraction form
    1,666.58/2,499.15 = 886.40/x
  3. Step 3: Cross multiply
    1,666.58x = 2,499.15 × 886.40
  4. Step 4: Simplify right side
    1,666.58x = 2,215,229.63
  5. Step 5: Solve for x
    x = 2,215,229.63/1,666.58
  6. Step 6: Final answer
    x = 1,329.21

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1.5x scale

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.