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Finding the Fourth Proportional to 2,666.40, 3,994.80 and 2,359.20

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Solution

The fourth proportional to 2,666.40, 3,994.80 and 2,359.20 is: 3,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.40 : 3,994.80 = 2,359.20 : x
  2. Step 2: Convert to fraction form
    2,666.40/3,994.80 = 2,359.20/x
  3. Step 3: Cross multiply
    2,666.40x = 3,994.80 × 2,359.20
  4. Step 4: Simplify right side
    2,666.40x = 9,424,532.16
  5. Step 5: Solve for x
    x = 9,424,532.16/2,666.40
  6. Step 6: Final answer
    x = 3,534.55

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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.