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Finding the Fourth Proportional to 2,357.39, 3,252.26 and 1,413.20

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Solution

The fourth proportional to 2,357.39, 3,252.26 and 1,413.20 is: 1,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.39 : 3,252.26 = 1,413.20 : x
  2. Step 2: Convert to fraction form
    2,357.39/3,252.26 = 1,413.20/x
  3. Step 3: Cross multiply
    2,357.39x = 3,252.26 × 1,413.20
  4. Step 4: Simplify right side
    2,357.39x = 4,596,070.50
  5. Step 5: Solve for x
    x = 4,596,070.50/2,357.39
  6. Step 6: Final answer
    x = 1,949.65

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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.