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Finding the Fourth Proportional to 1,870.46, 2,802.16 and 943.77

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Solution

The fourth proportional to 1,870.46, 2,802.16 and 943.77 is: 1,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.46 : 2,802.16 = 943.77 : x
  2. Step 2: Convert to fraction form
    1,870.46/2,802.16 = 943.77/x
  3. Step 3: Cross multiply
    1,870.46x = 2,802.16 × 943.77
  4. Step 4: Simplify right side
    1,870.46x = 2,644,594.54
  5. Step 5: Solve for x
    x = 2,644,594.54/1,870.46
  6. Step 6: Final answer
    x = 1,413.87

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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.