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Finding the Fourth Proportional to 1,556, 2,330.72 and 971.28

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Solution

The fourth proportional to 1,556, 2,330.72 and 971.28 is: 1,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556 : 2,330.72 = 971.28 : x
  2. Step 2: Convert to fraction form
    1,556/2,330.72 = 971.28/x
  3. Step 3: Cross multiply
    1,556x = 2,330.72 × 971.28
  4. Step 4: Simplify right side
    1,556x = 2,263,781.72
  5. Step 5: Solve for x
    x = 2,263,781.72/1,556
  6. Step 6: Final answer
    x = 1,454.87

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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.