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Finding the Fourth Proportional to 2,806.95, 4,210.20 and 2,117.15

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Solution

The fourth proportional to 2,806.95, 4,210.20 and 2,117.15 is: 3,175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.95 : 4,210.20 = 2,117.15 : x
  2. Step 2: Convert to fraction form
    2,806.95/4,210.20 = 2,117.15/x
  3. Step 3: Cross multiply
    2,806.95x = 4,210.20 × 2,117.15
  4. Step 4: Simplify right side
    2,806.95x = 8,913,603.88
  5. Step 5: Solve for x
    x = 8,913,603.88/2,806.95
  6. Step 6: Final answer
    x = 3,175.55

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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.