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Finding the Fourth Proportional to 2,135.06, 2,946.27 and 1,203.50

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Solution

The fourth proportional to 2,135.06, 2,946.27 and 1,203.50 is: 1,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.06 : 2,946.27 = 1,203.50 : x
  2. Step 2: Convert to fraction form
    2,135.06/2,946.27 = 1,203.50/x
  3. Step 3: Cross multiply
    2,135.06x = 2,946.27 × 1,203.50
  4. Step 4: Simplify right side
    2,135.06x = 3,545,835.95
  5. Step 5: Solve for x
    x = 3,545,835.95/2,135.06
  6. Step 6: Final answer
    x = 1,660.77

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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.