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Finding the Fourth Proportional to 2,118.95, 2,922.54 and 1,856.51

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Solution

The fourth proportional to 2,118.95, 2,922.54 and 1,856.51 is: 2,560.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.95 : 2,922.54 = 1,856.51 : x
  2. Step 2: Convert to fraction form
    2,118.95/2,922.54 = 1,856.51/x
  3. Step 3: Cross multiply
    2,118.95x = 2,922.54 × 1,856.51
  4. Step 4: Simplify right side
    2,118.95x = 5,425,724.74
  5. Step 5: Solve for x
    x = 5,425,724.74/2,118.95
  6. Step 6: Final answer
    x = 2,560.57

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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.