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Finding the Fourth Proportional to 2,093.16, 3,140.10 and 632.19

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Solution

The fourth proportional to 2,093.16, 3,140.10 and 632.19 is: 948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.16 : 3,140.10 = 632.19 : x
  2. Step 2: Convert to fraction form
    2,093.16/3,140.10 = 632.19/x
  3. Step 3: Cross multiply
    2,093.16x = 3,140.10 × 632.19
  4. Step 4: Simplify right side
    2,093.16x = 1,985,139.82
  5. Step 5: Solve for x
    x = 1,985,139.82/2,093.16
  6. Step 6: Final answer
    x = 948.39

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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.