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Finding the Fourth Proportional to 1,846.49, 2,547.50 and 1,174.59

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Solution

The fourth proportional to 1,846.49, 2,547.50 and 1,174.59 is: 1,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.49 : 2,547.50 = 1,174.59 : x
  2. Step 2: Convert to fraction form
    1,846.49/2,547.50 = 1,174.59/x
  3. Step 3: Cross multiply
    1,846.49x = 2,547.50 × 1,174.59
  4. Step 4: Simplify right side
    1,846.49x = 2,992,262.15
  5. Step 5: Solve for x
    x = 2,992,262.15/1,846.49
  6. Step 6: Final answer
    x = 1,620.52

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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.