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Finding the Fourth Proportional to 1,413.60, 2,120.00 and 591.71

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Solution

The fourth proportional to 1,413.60, 2,120.00 and 591.71 is: 887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.60 : 2,120.00 = 591.71 : x
  2. Step 2: Convert to fraction form
    1,413.60/2,120.00 = 591.71/x
  3. Step 3: Cross multiply
    1,413.60x = 2,120.00 × 591.71
  4. Step 4: Simplify right side
    1,413.60x = 1,254,411.64
  5. Step 5: Solve for x
    x = 1,254,411.64/1,413.60
  6. Step 6: Final answer
    x = 887.39

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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.