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Finding the Fourth Proportional to 1,413.84, 2,117.28 and 926.40

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Solution

The fourth proportional to 1,413.84, 2,117.28 and 926.40 is: 1,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.84 : 2,117.28 = 926.40 : x
  2. Step 2: Convert to fraction form
    1,413.84/2,117.28 = 926.40/x
  3. Step 3: Cross multiply
    1,413.84x = 2,117.28 × 926.40
  4. Step 4: Simplify right side
    1,413.84x = 1,961,448.19
  5. Step 5: Solve for x
    x = 1,961,448.19/1,413.84
  6. Step 6: Final answer
    x = 1,387.32

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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.