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Finding the Fourth Proportional to 2,282.41, 3,430.02 and 1,358.13

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Solution

The fourth proportional to 2,282.41, 3,430.02 and 1,358.13 is: 2,041.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.41 : 3,430.02 = 1,358.13 : x
  2. Step 2: Convert to fraction form
    2,282.41/3,430.02 = 1,358.13/x
  3. Step 3: Cross multiply
    2,282.41x = 3,430.02 × 1,358.13
  4. Step 4: Simplify right side
    2,282.41x = 4,658,413.06
  5. Step 5: Solve for x
    x = 4,658,413.06/2,282.41
  6. Step 6: Final answer
    x = 2,041.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.