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Finding the Fourth Proportional to 2,666.35, 3,679.54 and 1,471.35

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Solution

The fourth proportional to 2,666.35, 3,679.54 and 1,471.35 is: 2,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.35 : 3,679.54 = 1,471.35 : x
  2. Step 2: Convert to fraction form
    2,666.35/3,679.54 = 1,471.35/x
  3. Step 3: Cross multiply
    2,666.35x = 3,679.54 × 1,471.35
  4. Step 4: Simplify right side
    2,666.35x = 5,413,882.67
  5. Step 5: Solve for x
    x = 5,413,882.67/2,666.35
  6. Step 6: Final answer
    x = 2,030.45

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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.