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Finding the Fourth Proportional to 2,413.59, 3,329.22 and 1,666.26

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Solution

The fourth proportional to 2,413.59, 3,329.22 and 1,666.26 is: 2,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.59 : 3,329.22 = 1,666.26 : x
  2. Step 2: Convert to fraction form
    2,413.59/3,329.22 = 1,666.26/x
  3. Step 3: Cross multiply
    2,413.59x = 3,329.22 × 1,666.26
  4. Step 4: Simplify right side
    2,413.59x = 5,547,346.12
  5. Step 5: Solve for x
    x = 5,547,346.12/2,413.59
  6. Step 6: Final answer
    x = 2,298.38

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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.