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Finding the Fourth Proportional to 1,497.47, 2,063.13 and 1,182.63

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Solution

The fourth proportional to 1,497.47, 2,063.13 and 1,182.63 is: 1,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.47 : 2,063.13 = 1,182.63 : x
  2. Step 2: Convert to fraction form
    1,497.47/2,063.13 = 1,182.63/x
  3. Step 3: Cross multiply
    1,497.47x = 2,063.13 × 1,182.63
  4. Step 4: Simplify right side
    1,497.47x = 2,439,919.21
  5. Step 5: Solve for x
    x = 2,439,919.21/1,497.47
  6. Step 6: Final answer
    x = 1,629.36

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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.