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Finding the Fourth Proportional to 2,473.18, 3,413.00 and 1,354.13

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Solution

The fourth proportional to 2,473.18, 3,413.00 and 1,354.13 is: 1,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.18 : 3,413.00 = 1,354.13 : x
  2. Step 2: Convert to fraction form
    2,473.18/3,413.00 = 1,354.13/x
  3. Step 3: Cross multiply
    2,473.18x = 3,413.00 × 1,354.13
  4. Step 4: Simplify right side
    2,473.18x = 4,621,635.21
  5. Step 5: Solve for x
    x = 4,621,635.21/2,473.18
  6. Step 6: Final answer
    x = 1,868.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.