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Finding the Fourth Proportional to 2,666.57, 4,002.67 and 1,497.57

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Solution

The fourth proportional to 2,666.57, 4,002.67 and 1,497.57 is: 2,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.57 : 4,002.67 = 1,497.57 : x
  2. Step 2: Convert to fraction form
    2,666.57/4,002.67 = 1,497.57/x
  3. Step 3: Cross multiply
    2,666.57x = 4,002.67 × 1,497.57
  4. Step 4: Simplify right side
    2,666.57x = 5,994,256.95
  5. Step 5: Solve for x
    x = 5,994,256.95/2,666.57
  6. Step 6: Final answer
    x = 2,247.93

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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.