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Finding the Fourth Proportional to 1,856.88, 2,562.89 and 1,111.01

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Solution

The fourth proportional to 1,856.88, 2,562.89 and 1,111.01 is: 1,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.88 : 2,562.89 = 1,111.01 : x
  2. Step 2: Convert to fraction form
    1,856.88/2,562.89 = 1,111.01/x
  3. Step 3: Cross multiply
    1,856.88x = 2,562.89 × 1,111.01
  4. Step 4: Simplify right side
    1,856.88x = 2,847,378.05
  5. Step 5: Solve for x
    x = 2,847,378.05/1,856.88
  6. Step 6: Final answer
    x = 1,533.42

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Why These Related Problems?

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