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Finding the Fourth Proportional to 1,512.06, 2,256.87 and 1,302.93

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Solution

The fourth proportional to 1,512.06, 2,256.87 and 1,302.93 is: 1,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.06 : 2,256.87 = 1,302.93 : x
  2. Step 2: Convert to fraction form
    1,512.06/2,256.87 = 1,302.93/x
  3. Step 3: Cross multiply
    1,512.06x = 2,256.87 × 1,302.93
  4. Step 4: Simplify right side
    1,512.06x = 2,940,543.63
  5. Step 5: Solve for x
    x = 2,940,543.63/1,512.06
  6. Step 6: Final answer
    x = 1,944.73

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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.