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Finding the Fourth Proportional to 2,870.32, 3,961.32 and 1,675.72

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Solution

The fourth proportional to 2,870.32, 3,961.32 and 1,675.72 is: 2,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.32 : 3,961.32 = 1,675.72 : x
  2. Step 2: Convert to fraction form
    2,870.32/3,961.32 = 1,675.72/x
  3. Step 3: Cross multiply
    2,870.32x = 3,961.32 × 1,675.72
  4. Step 4: Simplify right side
    2,870.32x = 6,638,063.15
  5. Step 5: Solve for x
    x = 6,638,063.15/2,870.32
  6. Step 6: Final answer
    x = 2,312.66

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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.