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Finding the Fourth Proportional to 1,870.74, 2,791.49 and 1,652.04

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Solution

The fourth proportional to 1,870.74, 2,791.49 and 1,652.04 is: 2,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.74 : 2,791.49 = 1,652.04 : x
  2. Step 2: Convert to fraction form
    1,870.74/2,791.49 = 1,652.04/x
  3. Step 3: Cross multiply
    1,870.74x = 2,791.49 × 1,652.04
  4. Step 4: Simplify right side
    1,870.74x = 4,611,644.88
  5. Step 5: Solve for x
    x = 4,611,644.88/1,870.74
  6. Step 6: Final answer
    x = 2,465.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.