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Finding the Fourth Proportional to 1,950.76, 2,937.59 and 1,406.71

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Solution

The fourth proportional to 1,950.76, 2,937.59 and 1,406.71 is: 2,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.76 : 2,937.59 = 1,406.71 : x
  2. Step 2: Convert to fraction form
    1,950.76/2,937.59 = 1,406.71/x
  3. Step 3: Cross multiply
    1,950.76x = 2,937.59 × 1,406.71
  4. Step 4: Simplify right side
    1,950.76x = 4,132,337.23
  5. Step 5: Solve for x
    x = 4,132,337.23/1,950.76
  6. Step 6: Final answer
    x = 2,118.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.