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Finding the Fourth Proportional to 2,866.84, 3,956.10 and 1,870.18

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Solution

The fourth proportional to 2,866.84, 3,956.10 and 1,870.18 is: 2,580.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.84 : 3,956.10 = 1,870.18 : x
  2. Step 2: Convert to fraction form
    2,866.84/3,956.10 = 1,870.18/x
  3. Step 3: Cross multiply
    2,866.84x = 3,956.10 × 1,870.18
  4. Step 4: Simplify right side
    2,866.84x = 7,398,619.10
  5. Step 5: Solve for x
    x = 7,398,619.10/2,866.84
  6. Step 6: Final answer
    x = 2,580.76

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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.