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Finding the Fourth Proportional to 2,119.07, 2,922.71 and 1,856.63

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Solution

The fourth proportional to 2,119.07, 2,922.71 and 1,856.63 is: 2,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.07 : 2,922.71 = 1,856.63 : x
  2. Step 2: Convert to fraction form
    2,119.07/2,922.71 = 1,856.63/x
  3. Step 3: Cross multiply
    2,119.07x = 2,922.71 × 1,856.63
  4. Step 4: Simplify right side
    2,119.07x = 5,426,403.02
  5. Step 5: Solve for x
    x = 5,426,403.02/2,119.07
  6. Step 6: Final answer
    x = 2,560.74

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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.