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Finding the Fourth Proportional to 1,358.47, 2,036.07 and 945.37

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Solution

The fourth proportional to 1,358.47, 2,036.07 and 945.37 is: 1,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.47 : 2,036.07 = 945.37 : x
  2. Step 2: Convert to fraction form
    1,358.47/2,036.07 = 945.37/x
  3. Step 3: Cross multiply
    1,358.47x = 2,036.07 × 945.37
  4. Step 4: Simplify right side
    1,358.47x = 1,924,839.50
  5. Step 5: Solve for x
    x = 1,924,839.50/1,358.47
  6. Step 6: Final answer
    x = 1,416.92

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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.