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Finding the Fourth Proportional to 1,770.47, 2,442.96 and 1,024.28

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Solution

The fourth proportional to 1,770.47, 2,442.96 and 1,024.28 is: 1,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.47 : 2,442.96 = 1,024.28 : x
  2. Step 2: Convert to fraction form
    1,770.47/2,442.96 = 1,024.28/x
  3. Step 3: Cross multiply
    1,770.47x = 2,442.96 × 1,024.28
  4. Step 4: Simplify right side
    1,770.47x = 2,502,262.85
  5. Step 5: Solve for x
    x = 2,502,262.85/1,770.47
  6. Step 6: Final answer
    x = 1,413.34

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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.