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Finding the Fourth Proportional to 1,853.77, 2,557.29 and 1,256.47

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Solution

The fourth proportional to 1,853.77, 2,557.29 and 1,256.47 is: 1,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.77 : 2,557.29 = 1,256.47 : x
  2. Step 2: Convert to fraction form
    1,853.77/2,557.29 = 1,256.47/x
  3. Step 3: Cross multiply
    1,853.77x = 2,557.29 × 1,256.47
  4. Step 4: Simplify right side
    1,853.77x = 3,213,158.17
  5. Step 5: Solve for x
    x = 3,213,158.17/1,853.77
  6. Step 6: Final answer
    x = 1,733.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.