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Finding the Fourth Proportional to 2,130.41, 3,195.96 and 898.17

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Solution

The fourth proportional to 2,130.41, 3,195.96 and 898.17 is: 1,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.41 : 3,195.96 = 898.17 : x
  2. Step 2: Convert to fraction form
    2,130.41/3,195.96 = 898.17/x
  3. Step 3: Cross multiply
    2,130.41x = 3,195.96 × 898.17
  4. Step 4: Simplify right side
    2,130.41x = 2,870,515.39
  5. Step 5: Solve for x
    x = 2,870,515.39/2,130.41
  6. Step 6: Final answer
    x = 1,347.40

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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.