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Finding the Fourth Proportional to 2,363.19, 3,541.70 and 974.94

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Solution

The fourth proportional to 2,363.19, 3,541.70 and 974.94 is: 1,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.19 : 3,541.70 = 974.94 : x
  2. Step 2: Convert to fraction form
    2,363.19/3,541.70 = 974.94/x
  3. Step 3: Cross multiply
    2,363.19x = 3,541.70 × 974.94
  4. Step 4: Simplify right side
    2,363.19x = 3,452,922.41
  5. Step 5: Solve for x
    x = 3,452,922.41/2,363.19
  6. Step 6: Final answer
    x = 1,461.13

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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.