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Finding the Fourth Proportional to 1,497.11, 2,063.87 and 1,053.63

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Solution

The fourth proportional to 1,497.11, 2,063.87 and 1,053.63 is: 1,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.11 : 2,063.87 = 1,053.63 : x
  2. Step 2: Convert to fraction form
    1,497.11/2,063.87 = 1,053.63/x
  3. Step 3: Cross multiply
    1,497.11x = 2,063.87 × 1,053.63
  4. Step 4: Simplify right side
    1,497.11x = 2,174,550.08
  5. Step 5: Solve for x
    x = 2,174,550.08/1,497.11
  6. Step 6: Final answer
    x = 1,452.50

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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.