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Finding the Fourth Proportional to 1,971.52, 2,956.64 and 738.88

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Solution

The fourth proportional to 1,971.52, 2,956.64 and 738.88 is: 1,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.52 : 2,956.64 = 738.88 : x
  2. Step 2: Convert to fraction form
    1,971.52/2,956.64 = 738.88/x
  3. Step 3: Cross multiply
    1,971.52x = 2,956.64 × 738.88
  4. Step 4: Simplify right side
    1,971.52x = 2,184,602.16
  5. Step 5: Solve for x
    x = 2,184,602.16/1,971.52
  6. Step 6: Final answer
    x = 1,108.08

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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.