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Finding the Fourth Proportional to 2,923.47, 4,384.65 and 975.15

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Solution

The fourth proportional to 2,923.47, 4,384.65 and 975.15 is: 1,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.47 : 4,384.65 = 975.15 : x
  2. Step 2: Convert to fraction form
    2,923.47/4,384.65 = 975.15/x
  3. Step 3: Cross multiply
    2,923.47x = 4,384.65 × 975.15
  4. Step 4: Simplify right side
    2,923.47x = 4,275,691.45
  5. Step 5: Solve for x
    x = 4,275,691.45/2,923.47
  6. Step 6: Final answer
    x = 1,462.54

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1.5x scale

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.