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Finding the Fourth Proportional to 2,953.94, 4,431.59 and 1,006.13

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Solution

The fourth proportional to 2,953.94, 4,431.59 and 1,006.13 is: 1,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.94 : 4,431.59 = 1,006.13 : x
  2. Step 2: Convert to fraction form
    2,953.94/4,431.59 = 1,006.13/x
  3. Step 3: Cross multiply
    2,953.94x = 4,431.59 × 1,006.13
  4. Step 4: Simplify right side
    2,953.94x = 4,458,728.46
  5. Step 5: Solve for x
    x = 4,458,728.46/2,953.94
  6. Step 6: Final answer
    x = 1,509.42

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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.