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Finding the Fourth Proportional to 2,170.12, 2,995.72 and 1,585.12

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Solution

The fourth proportional to 2,170.12, 2,995.72 and 1,585.12 is: 2,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.12 : 2,995.72 = 1,585.12 : x
  2. Step 2: Convert to fraction form
    2,170.12/2,995.72 = 1,585.12/x
  3. Step 3: Cross multiply
    2,170.12x = 2,995.72 × 1,585.12
  4. Step 4: Simplify right side
    2,170.12x = 4,748,575.69
  5. Step 5: Solve for x
    x = 4,748,575.69/2,170.12
  6. Step 6: Final answer
    x = 2,188.16

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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.