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Finding the Fourth Proportional to 3,029.01, 4,541.58 and 948.42

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Solution

The fourth proportional to 3,029.01, 4,541.58 and 948.42 is: 1,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.01 : 4,541.58 = 948.42 : x
  2. Step 2: Convert to fraction form
    3,029.01/4,541.58 = 948.42/x
  3. Step 3: Cross multiply
    3,029.01x = 4,541.58 × 948.42
  4. Step 4: Simplify right side
    3,029.01x = 4,307,325.30
  5. Step 5: Solve for x
    x = 4,307,325.30/3,029.01
  6. Step 6: Final answer
    x = 1,422.02

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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.