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Finding the Fourth Proportional to 1,561.02, 2,341.97 and 637.24

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Solution

The fourth proportional to 1,561.02, 2,341.97 and 637.24 is: 956.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.02 : 2,341.97 = 637.24 : x
  2. Step 2: Convert to fraction form
    1,561.02/2,341.97 = 637.24/x
  3. Step 3: Cross multiply
    1,561.02x = 2,341.97 × 637.24
  4. Step 4: Simplify right side
    1,561.02x = 1,492,396.96
  5. Step 5: Solve for x
    x = 1,492,396.96/1,561.02
  6. Step 6: Final answer
    x = 956.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.