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Finding the Fourth Proportional to 1,561.64, 2,341.18 and 1,257

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Solution

The fourth proportional to 1,561.64, 2,341.18 and 1,257 is: 1,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.64 : 2,341.18 = 1,257 : x
  2. Step 2: Convert to fraction form
    1,561.64/2,341.18 = 1,257/x
  3. Step 3: Cross multiply
    1,561.64x = 2,341.18 × 1,257
  4. Step 4: Simplify right side
    1,561.64x = 2,942,863.26
  5. Step 5: Solve for x
    x = 2,942,863.26/1,561.64
  6. Step 6: Final answer
    x = 1,884.47

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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.