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Finding the Fourth Proportional to 2,051.82, 2,829.26 and 1,387.53

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Solution

The fourth proportional to 2,051.82, 2,829.26 and 1,387.53 is: 1,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.82 : 2,829.26 = 1,387.53 : x
  2. Step 2: Convert to fraction form
    2,051.82/2,829.26 = 1,387.53/x
  3. Step 3: Cross multiply
    2,051.82x = 2,829.26 × 1,387.53
  4. Step 4: Simplify right side
    2,051.82x = 3,925,686.60
  5. Step 5: Solve for x
    x = 3,925,686.60/2,051.82
  6. Step 6: Final answer
    x = 1,913.27

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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.