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Finding the Fourth Proportional to 1,950.39, 2,925.63 and 1,027.80

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Solution

The fourth proportional to 1,950.39, 2,925.63 and 1,027.80 is: 1,541.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.39 : 2,925.63 = 1,027.80 : x
  2. Step 2: Convert to fraction form
    1,950.39/2,925.63 = 1,027.80/x
  3. Step 3: Cross multiply
    1,950.39x = 2,925.63 × 1,027.80
  4. Step 4: Simplify right side
    1,950.39x = 3,006,962.51
  5. Step 5: Solve for x
    x = 3,006,962.51/1,950.39
  6. Step 6: Final answer
    x = 1,541.72

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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.