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Finding the Fourth Proportional to 2,477.95, 3,696.01 and 2,108.59

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Solution

The fourth proportional to 2,477.95, 3,696.01 and 2,108.59 is: 3,145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.95 : 3,696.01 = 2,108.59 : x
  2. Step 2: Convert to fraction form
    2,477.95/3,696.01 = 2,108.59/x
  3. Step 3: Cross multiply
    2,477.95x = 3,696.01 × 2,108.59
  4. Step 4: Simplify right side
    2,477.95x = 7,793,355.21
  5. Step 5: Solve for x
    x = 7,793,355.21/2,477.95
  6. Step 6: Final answer
    x = 3,145.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.