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Finding the Fourth Proportional to 2,103.55, 3,154.74 and 623.10

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Solution

The fourth proportional to 2,103.55, 3,154.74 and 623.10 is: 934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.55 : 3,154.74 = 623.10 : x
  2. Step 2: Convert to fraction form
    2,103.55/3,154.74 = 623.10/x
  3. Step 3: Cross multiply
    2,103.55x = 3,154.74 × 623.10
  4. Step 4: Simplify right side
    2,103.55x = 1,965,718.49
  5. Step 5: Solve for x
    x = 1,965,718.49/2,103.55
  6. Step 6: Final answer
    x = 934.48

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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.