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Finding the Fourth Proportional to 1,256.32, 1,875.48 and 1,092.34

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Solution

The fourth proportional to 1,256.32, 1,875.48 and 1,092.34 is: 1,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.32 : 1,875.48 = 1,092.34 : x
  2. Step 2: Convert to fraction form
    1,256.32/1,875.48 = 1,092.34/x
  3. Step 3: Cross multiply
    1,256.32x = 1,875.48 × 1,092.34
  4. Step 4: Simplify right side
    1,256.32x = 2,048,661.82
  5. Step 5: Solve for x
    x = 2,048,661.82/1,256.32
  6. Step 6: Final answer
    x = 1,630.68

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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.