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Finding the Fourth Proportional to 2,135.52, 2,946.51 and 1,296.05

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Solution

The fourth proportional to 2,135.52, 2,946.51 and 1,296.05 is: 1,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.52 : 2,946.51 = 1,296.05 : x
  2. Step 2: Convert to fraction form
    2,135.52/2,946.51 = 1,296.05/x
  3. Step 3: Cross multiply
    2,135.52x = 2,946.51 × 1,296.05
  4. Step 4: Simplify right side
    2,135.52x = 3,818,809.55
  5. Step 5: Solve for x
    x = 3,818,809.55/2,135.52
  6. Step 6: Final answer
    x = 1,788.23

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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.