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Finding the Fourth Proportional to 1,930.96, 2,895.83 and 632.13

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Solution

The fourth proportional to 1,930.96, 2,895.83 and 632.13 is: 948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.96 : 2,895.83 = 632.13 : x
  2. Step 2: Convert to fraction form
    1,930.96/2,895.83 = 632.13/x
  3. Step 3: Cross multiply
    1,930.96x = 2,895.83 × 632.13
  4. Step 4: Simplify right side
    1,930.96x = 1,830,541.02
  5. Step 5: Solve for x
    x = 1,830,541.02/1,930.96
  6. Step 6: Final answer
    x = 948.00

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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.