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Finding the Fourth Proportional to 1,846.25, 2,547.79 and 1,006.96

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Solution

The fourth proportional to 1,846.25, 2,547.79 and 1,006.96 is: 1,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.25 : 2,547.79 = 1,006.96 : x
  2. Step 2: Convert to fraction form
    1,846.25/2,547.79 = 1,006.96/x
  3. Step 3: Cross multiply
    1,846.25x = 2,547.79 × 1,006.96
  4. Step 4: Simplify right side
    1,846.25x = 2,565,504.84
  5. Step 5: Solve for x
    x = 2,565,504.84/1,846.25
  6. Step 6: Final answer
    x = 1,389.58

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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.