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Finding the Fourth Proportional to 2,992.40, 4,129.02 and 1,666.07

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Solution

The fourth proportional to 2,992.40, 4,129.02 and 1,666.07 is: 2,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.40 : 4,129.02 = 1,666.07 : x
  2. Step 2: Convert to fraction form
    2,992.40/4,129.02 = 1,666.07/x
  3. Step 3: Cross multiply
    2,992.40x = 4,129.02 × 1,666.07
  4. Step 4: Simplify right side
    2,992.40x = 6,879,215.71
  5. Step 5: Solve for x
    x = 6,879,215.71/2,992.40
  6. Step 6: Final answer
    x = 2,298.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.