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Finding the Fourth Proportional to 2,064.79, 3,091.35 and 1,870.16

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Solution

The fourth proportional to 2,064.79, 3,091.35 and 1,870.16 is: 2,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.79 : 3,091.35 = 1,870.16 : x
  2. Step 2: Convert to fraction form
    2,064.79/3,091.35 = 1,870.16/x
  3. Step 3: Cross multiply
    2,064.79x = 3,091.35 × 1,870.16
  4. Step 4: Simplify right side
    2,064.79x = 5,781,319.12
  5. Step 5: Solve for x
    x = 5,781,319.12/2,064.79
  6. Step 6: Final answer
    x = 2,799.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.