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Finding the Fourth Proportional to 2,301.84, 3,451.68 and 915.12

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Solution

The fourth proportional to 2,301.84, 3,451.68 and 915.12 is: 1,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.84 : 3,451.68 = 915.12 : x
  2. Step 2: Convert to fraction form
    2,301.84/3,451.68 = 915.12/x
  3. Step 3: Cross multiply
    2,301.84x = 3,451.68 × 915.12
  4. Step 4: Simplify right side
    2,301.84x = 3,158,701.40
  5. Step 5: Solve for x
    x = 3,158,701.40/2,301.84
  6. Step 6: Final answer
    x = 1,372.25

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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.