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Finding the Fourth Proportional to 2,135.06, 2,946.93 and 1,295.78

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Solution

The fourth proportional to 2,135.06, 2,946.93 and 1,295.78 is: 1,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.06 : 2,946.93 = 1,295.78 : x
  2. Step 2: Convert to fraction form
    2,135.06/2,946.93 = 1,295.78/x
  3. Step 3: Cross multiply
    2,135.06x = 2,946.93 × 1,295.78
  4. Step 4: Simplify right side
    2,135.06x = 3,818,572.96
  5. Step 5: Solve for x
    x = 3,818,572.96/2,135.06
  6. Step 6: Final answer
    x = 1,788.51

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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.