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Finding the Fourth Proportional to 2,666.62, 3,679.71 and 1,547.20

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Solution

The fourth proportional to 2,666.62, 3,679.71 and 1,547.20 is: 2,135.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.62 : 3,679.71 = 1,547.20 : x
  2. Step 2: Convert to fraction form
    2,666.62/3,679.71 = 1,547.20/x
  3. Step 3: Cross multiply
    2,666.62x = 3,679.71 × 1,547.20
  4. Step 4: Simplify right side
    2,666.62x = 5,693,228.91
  5. Step 5: Solve for x
    x = 5,693,228.91/2,666.62
  6. Step 6: Final answer
    x = 2,135.00

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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.