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Finding the Fourth Proportional to 2,870.70, 3,962.08 and 1,675.88

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Solution

The fourth proportional to 2,870.70, 3,962.08 and 1,675.88 is: 2,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.70 : 3,962.08 = 1,675.88 : x
  2. Step 2: Convert to fraction form
    2,870.70/3,962.08 = 1,675.88/x
  3. Step 3: Cross multiply
    2,870.70x = 3,962.08 × 1,675.88
  4. Step 4: Simplify right side
    2,870.70x = 6,639,970.63
  5. Step 5: Solve for x
    x = 6,639,970.63/2,870.70
  6. Step 6: Final answer
    x = 2,313.01

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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.