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Finding the Fourth Proportional to 2,008.40, 3,012.98 and 710.78

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Solution

The fourth proportional to 2,008.40, 3,012.98 and 710.78 is: 1,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.40 : 3,012.98 = 710.78 : x
  2. Step 2: Convert to fraction form
    2,008.40/3,012.98 = 710.78/x
  3. Step 3: Cross multiply
    2,008.40x = 3,012.98 × 710.78
  4. Step 4: Simplify right side
    2,008.40x = 2,141,547.31
  5. Step 5: Solve for x
    x = 2,141,547.31/2,008.40
  6. Step 6: Final answer
    x = 1,066.30

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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.