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Finding the Fourth Proportional to 2,366.46, 3,549.84 and 1,130.46

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Solution

The fourth proportional to 2,366.46, 3,549.84 and 1,130.46 is: 1,695.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.46 : 3,549.84 = 1,130.46 : x
  2. Step 2: Convert to fraction form
    2,366.46/3,549.84 = 1,130.46/x
  3. Step 3: Cross multiply
    2,366.46x = 3,549.84 × 1,130.46
  4. Step 4: Simplify right side
    2,366.46x = 4,012,952.13
  5. Step 5: Solve for x
    x = 4,012,952.13/2,366.46
  6. Step 6: Final answer
    x = 1,695.76

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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.