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Finding the Fourth Proportional to 2,095.51, 3,139.80 and 1,477.92

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Solution

The fourth proportional to 2,095.51, 3,139.80 and 1,477.92 is: 2,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.51 : 3,139.80 = 1,477.92 : x
  2. Step 2: Convert to fraction form
    2,095.51/3,139.80 = 1,477.92/x
  3. Step 3: Cross multiply
    2,095.51x = 3,139.80 × 1,477.92
  4. Step 4: Simplify right side
    2,095.51x = 4,640,357.11
  5. Step 5: Solve for x
    x = 4,640,357.11/2,095.51
  6. Step 6: Final answer
    x = 2,214.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.