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Finding the Fourth Proportional to 2,071.87, 2,859.02 and 1,175.35

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Solution

The fourth proportional to 2,071.87, 2,859.02 and 1,175.35 is: 1,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.87 : 2,859.02 = 1,175.35 : x
  2. Step 2: Convert to fraction form
    2,071.87/2,859.02 = 1,175.35/x
  3. Step 3: Cross multiply
    2,071.87x = 2,859.02 × 1,175.35
  4. Step 4: Simplify right side
    2,071.87x = 3,360,349.16
  5. Step 5: Solve for x
    x = 3,360,349.16/2,071.87
  6. Step 6: Final answer
    x = 1,621.89

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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.