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Finding the Fourth Proportional to 1,925.93, 2,658.08 and 1,140.23

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Solution

The fourth proportional to 1,925.93, 2,658.08 and 1,140.23 is: 1,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.93 : 2,658.08 = 1,140.23 : x
  2. Step 2: Convert to fraction form
    1,925.93/2,658.08 = 1,140.23/x
  3. Step 3: Cross multiply
    1,925.93x = 2,658.08 × 1,140.23
  4. Step 4: Simplify right side
    1,925.93x = 3,030,822.56
  5. Step 5: Solve for x
    x = 3,030,822.56/1,925.93
  6. Step 6: Final answer
    x = 1,573.69

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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.