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Finding the Fourth Proportional to 1,561.83, 2,343.51 and 638.04

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Solution

The fourth proportional to 1,561.83, 2,343.51 and 638.04 is: 957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.83 : 2,343.51 = 638.04 : x
  2. Step 2: Convert to fraction form
    1,561.83/2,343.51 = 638.04/x
  3. Step 3: Cross multiply
    1,561.83x = 2,343.51 × 638.04
  4. Step 4: Simplify right side
    1,561.83x = 1,495,253.12
  5. Step 5: Solve for x
    x = 1,495,253.12/1,561.83
  6. Step 6: Final answer
    x = 957.37

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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.