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Finding the Fourth Proportional to 2,053.82, 2,830.32 and 1,493.72

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Solution

The fourth proportional to 2,053.82, 2,830.32 and 1,493.72 is: 2,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.82 : 2,830.32 = 1,493.72 : x
  2. Step 2: Convert to fraction form
    2,053.82/2,830.32 = 1,493.72/x
  3. Step 3: Cross multiply
    2,053.82x = 2,830.32 × 1,493.72
  4. Step 4: Simplify right side
    2,053.82x = 4,227,705.59
  5. Step 5: Solve for x
    x = 4,227,705.59/2,053.82
  6. Step 6: Final answer
    x = 2,058.46

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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.