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Finding the Fourth Proportional to 1,456.83, 2,010.60 and 897.17

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Solution

The fourth proportional to 1,456.83, 2,010.60 and 897.17 is: 1,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.83 : 2,010.60 = 897.17 : x
  2. Step 2: Convert to fraction form
    1,456.83/2,010.60 = 897.17/x
  3. Step 3: Cross multiply
    1,456.83x = 2,010.60 × 897.17
  4. Step 4: Simplify right side
    1,456.83x = 1,803,839.95
  5. Step 5: Solve for x
    x = 1,803,839.95/1,456.83
  6. Step 6: Final answer
    x = 1,238.20

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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.