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Finding the Fourth Proportional to 2,870.35, 3,960.02 and 1,807.83

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Solution

The fourth proportional to 2,870.35, 3,960.02 and 1,807.83 is: 2,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.35 : 3,960.02 = 1,807.83 : x
  2. Step 2: Convert to fraction form
    2,870.35/3,960.02 = 1,807.83/x
  3. Step 3: Cross multiply
    2,870.35x = 3,960.02 × 1,807.83
  4. Step 4: Simplify right side
    2,870.35x = 7,159,047.48
  5. Step 5: Solve for x
    x = 7,159,047.48/2,870.35
  6. Step 6: Final answer
    x = 2,494.14

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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.