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Finding the Fourth Proportional to 2,119.74, 2,925.51 and 1,292.22

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Solution

The fourth proportional to 2,119.74, 2,925.51 and 1,292.22 is: 1,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.74 : 2,925.51 = 1,292.22 : x
  2. Step 2: Convert to fraction form
    2,119.74/2,925.51 = 1,292.22/x
  3. Step 3: Cross multiply
    2,119.74x = 2,925.51 × 1,292.22
  4. Step 4: Simplify right side
    2,119.74x = 3,780,402.53
  5. Step 5: Solve for x
    x = 3,780,402.53/2,119.74
  6. Step 6: Final answer
    x = 1,783.43

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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.