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Finding the Fourth Proportional to 1,884.94, 2,601.23 and 1,045.69

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Solution

The fourth proportional to 1,884.94, 2,601.23 and 1,045.69 is: 1,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.94 : 2,601.23 = 1,045.69 : x
  2. Step 2: Convert to fraction form
    1,884.94/2,601.23 = 1,045.69/x
  3. Step 3: Cross multiply
    1,884.94x = 2,601.23 × 1,045.69
  4. Step 4: Simplify right side
    1,884.94x = 2,720,068.47
  5. Step 5: Solve for x
    x = 2,720,068.47/1,884.94
  6. Step 6: Final answer
    x = 1,443.05

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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.