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Finding the Fourth Proportional to 3,148.90, 4,722.45 and 957.10

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Solution

The fourth proportional to 3,148.90, 4,722.45 and 957.10 is: 1,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.90 : 4,722.45 = 957.10 : x
  2. Step 2: Convert to fraction form
    3,148.90/4,722.45 = 957.10/x
  3. Step 3: Cross multiply
    3,148.90x = 4,722.45 × 957.10
  4. Step 4: Simplify right side
    3,148.90x = 4,519,856.90
  5. Step 5: Solve for x
    x = 4,519,856.90/3,148.90
  6. Step 6: Final answer
    x = 1,435.38

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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.