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Finding the Fourth Proportional to 2,134.74, 2,946.93 and 1,427.76

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Solution

The fourth proportional to 2,134.74, 2,946.93 and 1,427.76 is: 1,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.74 : 2,946.93 = 1,427.76 : x
  2. Step 2: Convert to fraction form
    2,134.74/2,946.93 = 1,427.76/x
  3. Step 3: Cross multiply
    2,134.74x = 2,946.93 × 1,427.76
  4. Step 4: Simplify right side
    2,134.74x = 4,207,508.78
  5. Step 5: Solve for x
    x = 4,207,508.78/2,134.74
  6. Step 6: Final answer
    x = 1,970.97

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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.