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Finding the Fourth Proportional to 2,274.89, 3,411.95 and 631.58

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Solution

The fourth proportional to 2,274.89, 3,411.95 and 631.58 is: 947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.89 : 3,411.95 = 631.58 : x
  2. Step 2: Convert to fraction form
    2,274.89/3,411.95 = 631.58/x
  3. Step 3: Cross multiply
    2,274.89x = 3,411.95 × 631.58
  4. Step 4: Simplify right side
    2,274.89x = 2,154,899.16
  5. Step 5: Solve for x
    x = 2,154,899.16/2,274.89
  6. Step 6: Final answer
    x = 947.26

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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.