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Finding the Fourth Proportional to 1,325.63, 1,974.42 and 1,256.24

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Solution

The fourth proportional to 1,325.63, 1,974.42 and 1,256.24 is: 1,871.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.63 : 1,974.42 = 1,256.24 : x
  2. Step 2: Convert to fraction form
    1,325.63/1,974.42 = 1,256.24/x
  3. Step 3: Cross multiply
    1,325.63x = 1,974.42 × 1,256.24
  4. Step 4: Simplify right side
    1,325.63x = 2,480,335.51
  5. Step 5: Solve for x
    x = 2,480,335.51/1,325.63
  6. Step 6: Final answer
    x = 1,871.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.