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Finding the Fourth Proportional to 1,925.94, 2,888.59 and 693.12

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Solution

The fourth proportional to 1,925.94, 2,888.59 and 693.12 is: 1,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.94 : 2,888.59 = 693.12 : x
  2. Step 2: Convert to fraction form
    1,925.94/2,888.59 = 693.12/x
  3. Step 3: Cross multiply
    1,925.94x = 2,888.59 × 693.12
  4. Step 4: Simplify right side
    1,925.94x = 2,002,121.59
  5. Step 5: Solve for x
    x = 2,002,121.59/1,925.94
  6. Step 6: Final answer
    x = 1,039.56

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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.