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Finding the Fourth Proportional to 2,053.76, 3,091.75 and 1,875.20

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Solution

The fourth proportional to 2,053.76, 3,091.75 and 1,875.20 is: 2,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.76 : 3,091.75 = 1,875.20 : x
  2. Step 2: Convert to fraction form
    2,053.76/3,091.75 = 1,875.20/x
  3. Step 3: Cross multiply
    2,053.76x = 3,091.75 × 1,875.20
  4. Step 4: Simplify right side
    2,053.76x = 5,797,649.60
  5. Step 5: Solve for x
    x = 5,797,649.60/2,053.76
  6. Step 6: Final answer
    x = 2,822.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.