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Finding the Fourth Proportional to 2,530.74, 3,494.04 and 1,587.82

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Solution

The fourth proportional to 2,530.74, 3,494.04 and 1,587.82 is: 2,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.74 : 3,494.04 = 1,587.82 : x
  2. Step 2: Convert to fraction form
    2,530.74/3,494.04 = 1,587.82/x
  3. Step 3: Cross multiply
    2,530.74x = 3,494.04 × 1,587.82
  4. Step 4: Simplify right side
    2,530.74x = 5,547,919.30
  5. Step 5: Solve for x
    x = 5,547,919.30/2,530.74
  6. Step 6: Final answer
    x = 2,192.21

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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.