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Finding the Fourth Proportional to 1,925.69, 2,888.89 and 771.53

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Solution

The fourth proportional to 1,925.69, 2,888.89 and 771.53 is: 1,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.69 : 2,888.89 = 771.53 : x
  2. Step 2: Convert to fraction form
    1,925.69/2,888.89 = 771.53/x
  3. Step 3: Cross multiply
    1,925.69x = 2,888.89 × 771.53
  4. Step 4: Simplify right side
    1,925.69x = 2,228,848.93
  5. Step 5: Solve for x
    x = 2,228,848.93/1,925.69
  6. Step 6: Final answer
    x = 1,157.43

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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.