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Finding the Fourth Proportional to 1,856.79, 2,559.65 and 1,413.92

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Solution

The fourth proportional to 1,856.79, 2,559.65 and 1,413.92 is: 1,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.79 : 2,559.65 = 1,413.92 : x
  2. Step 2: Convert to fraction form
    1,856.79/2,559.65 = 1,413.92/x
  3. Step 3: Cross multiply
    1,856.79x = 2,559.65 × 1,413.92
  4. Step 4: Simplify right side
    1,856.79x = 3,619,127.53
  5. Step 5: Solve for x
    x = 3,619,127.53/1,856.79
  6. Step 6: Final answer
    x = 1,949.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.