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Finding the Fourth Proportional to 1,908.83, 2,637.50 and 1,470.51

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Solution

The fourth proportional to 1,908.83, 2,637.50 and 1,470.51 is: 2,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.83 : 2,637.50 = 1,470.51 : x
  2. Step 2: Convert to fraction form
    1,908.83/2,637.50 = 1,470.51/x
  3. Step 3: Cross multiply
    1,908.83x = 2,637.50 × 1,470.51
  4. Step 4: Simplify right side
    1,908.83x = 3,878,462.77
  5. Step 5: Solve for x
    x = 3,878,462.77/1,908.83
  6. Step 6: Final answer
    x = 2,031.85

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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.