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Finding the Fourth Proportional to 2,124.60, 3,186.56 and 585.24

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Solution

The fourth proportional to 2,124.60, 3,186.56 and 585.24 is: 877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.60 : 3,186.56 = 585.24 : x
  2. Step 2: Convert to fraction form
    2,124.60/3,186.56 = 585.24/x
  3. Step 3: Cross multiply
    2,124.60x = 3,186.56 × 585.24
  4. Step 4: Simplify right side
    2,124.60x = 1,864,902.37
  5. Step 5: Solve for x
    x = 1,864,902.37/2,124.60
  6. Step 6: Final answer
    x = 877.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.