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Finding the Fourth Proportional to 2,393.54, 3,590.27 and 750.09

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Solution

The fourth proportional to 2,393.54, 3,590.27 and 750.09 is: 1,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.54 : 3,590.27 = 750.09 : x
  2. Step 2: Convert to fraction form
    2,393.54/3,590.27 = 750.09/x
  3. Step 3: Cross multiply
    2,393.54x = 3,590.27 × 750.09
  4. Step 4: Simplify right side
    2,393.54x = 2,693,038.15
  5. Step 5: Solve for x
    x = 2,693,038.15/2,393.54
  6. Step 6: Final answer
    x = 1,125.13

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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.