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Finding the Fourth Proportional to 1,552.34, 2,329.14 and 1,527.78

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Solution

The fourth proportional to 1,552.34, 2,329.14 and 1,527.78 is: 2,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.34 : 2,329.14 = 1,527.78 : x
  2. Step 2: Convert to fraction form
    1,552.34/2,329.14 = 1,527.78/x
  3. Step 3: Cross multiply
    1,552.34x = 2,329.14 × 1,527.78
  4. Step 4: Simplify right side
    1,552.34x = 3,558,413.51
  5. Step 5: Solve for x
    x = 3,558,413.51/1,552.34
  6. Step 6: Final answer
    x = 2,292.29

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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.