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Finding the Fourth Proportional to 1,561.51, 2,341.60 and 636.43

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Solution

The fourth proportional to 1,561.51, 2,341.60 and 636.43 is: 954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.51 : 2,341.60 = 636.43 : x
  2. Step 2: Convert to fraction form
    1,561.51/2,341.60 = 636.43/x
  3. Step 3: Cross multiply
    1,561.51x = 2,341.60 × 636.43
  4. Step 4: Simplify right side
    1,561.51x = 1,490,264.49
  5. Step 5: Solve for x
    x = 1,490,264.49/1,561.51
  6. Step 6: Final answer
    x = 954.38

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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.