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Finding the Fourth Proportional to 1,585.56, 2,187.54 and 1,026.74

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Solution

The fourth proportional to 1,585.56, 2,187.54 and 1,026.74 is: 1,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.56 : 2,187.54 = 1,026.74 : x
  2. Step 2: Convert to fraction form
    1,585.56/2,187.54 = 1,026.74/x
  3. Step 3: Cross multiply
    1,585.56x = 2,187.54 × 1,026.74
  4. Step 4: Simplify right side
    1,585.56x = 2,246,034.82
  5. Step 5: Solve for x
    x = 2,246,034.82/1,585.56
  6. Step 6: Final answer
    x = 1,416.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.