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Finding the Fourth Proportional to 1,938.90, 2,905.98 and 962.91

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Solution

The fourth proportional to 1,938.90, 2,905.98 and 962.91 is: 1,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.90 : 2,905.98 = 962.91 : x
  2. Step 2: Convert to fraction form
    1,938.90/2,905.98 = 962.91/x
  3. Step 3: Cross multiply
    1,938.90x = 2,905.98 × 962.91
  4. Step 4: Simplify right side
    1,938.90x = 2,798,197.20
  5. Step 5: Solve for x
    x = 2,798,197.20/1,938.90
  6. Step 6: Final answer
    x = 1,443.19

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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.