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Finding the Fourth Proportional to 2,870.01, 4,305.06 and 1,309.95

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Solution

The fourth proportional to 2,870.01, 4,305.06 and 1,309.95 is: 1,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.01 : 4,305.06 = 1,309.95 : x
  2. Step 2: Convert to fraction form
    2,870.01/4,305.06 = 1,309.95/x
  3. Step 3: Cross multiply
    2,870.01x = 4,305.06 × 1,309.95
  4. Step 4: Simplify right side
    2,870.01x = 5,639,413.35
  5. Step 5: Solve for x
    x = 5,639,413.35/2,870.01
  6. Step 6: Final answer
    x = 1,964.95

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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.