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Finding the Fourth Proportional to 1,413.61, 2,120.15 and 591.66

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Solution

The fourth proportional to 1,413.61, 2,120.15 and 591.66 is: 887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.61 : 2,120.15 = 591.66 : x
  2. Step 2: Convert to fraction form
    1,413.61/2,120.15 = 591.66/x
  3. Step 3: Cross multiply
    1,413.61x = 2,120.15 × 591.66
  4. Step 4: Simplify right side
    1,413.61x = 1,254,407.95
  5. Step 5: Solve for x
    x = 1,254,407.95/1,413.61
  6. Step 6: Final answer
    x = 887.38

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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.