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Finding the Fourth Proportional to 1,770.02, 2,442.74 and 1,024

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Solution

The fourth proportional to 1,770.02, 2,442.74 and 1,024 is: 1,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.02 : 2,442.74 = 1,024 : x
  2. Step 2: Convert to fraction form
    1,770.02/2,442.74 = 1,024/x
  3. Step 3: Cross multiply
    1,770.02x = 2,442.74 × 1,024
  4. Step 4: Simplify right side
    1,770.02x = 2,501,365.76
  5. Step 5: Solve for x
    x = 2,501,365.76/1,770.02
  6. Step 6: Final answer
    x = 1,413.19

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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.