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Finding the Fourth Proportional to 2,953.74, 4,430.08 and 978.76

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Solution

The fourth proportional to 2,953.74, 4,430.08 and 978.76 is: 1,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.74 : 4,430.08 = 978.76 : x
  2. Step 2: Convert to fraction form
    2,953.74/4,430.08 = 978.76/x
  3. Step 3: Cross multiply
    2,953.74x = 4,430.08 × 978.76
  4. Step 4: Simplify right side
    2,953.74x = 4,335,985.10
  5. Step 5: Solve for x
    x = 4,335,985.10/2,953.74
  6. Step 6: Final answer
    x = 1,467.96

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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.