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Finding the Fourth Proportional to 1,946.98, 2,931.92 and 1,402.99

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Solution

The fourth proportional to 1,946.98, 2,931.92 and 1,402.99 is: 2,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.98 : 2,931.92 = 1,402.99 : x
  2. Step 2: Convert to fraction form
    1,946.98/2,931.92 = 1,402.99/x
  3. Step 3: Cross multiply
    1,946.98x = 2,931.92 × 1,402.99
  4. Step 4: Simplify right side
    1,946.98x = 4,113,454.44
  5. Step 5: Solve for x
    x = 4,113,454.44/1,946.98
  6. Step 6: Final answer
    x = 2,112.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.