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Finding the Fourth Proportional to 2,870.49, 3,960.06 and 1,807.86

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Solution

The fourth proportional to 2,870.49, 3,960.06 and 1,807.86 is: 2,494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.49 : 3,960.06 = 1,807.86 : x
  2. Step 2: Convert to fraction form
    2,870.49/3,960.06 = 1,807.86/x
  3. Step 3: Cross multiply
    2,870.49x = 3,960.06 × 1,807.86
  4. Step 4: Simplify right side
    2,870.49x = 7,159,234.07
  5. Step 5: Solve for x
    x = 7,159,234.07/2,870.49
  6. Step 6: Final answer
    x = 2,494.08

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