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Finding the Fourth Proportional to 1,733.23, 2,595.78 and 1,504

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Solution

The fourth proportional to 1,733.23, 2,595.78 and 1,504 is: 2,252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.23 : 2,595.78 = 1,504 : x
  2. Step 2: Convert to fraction form
    1,733.23/2,595.78 = 1,504/x
  3. Step 3: Cross multiply
    1,733.23x = 2,595.78 × 1,504
  4. Step 4: Simplify right side
    1,733.23x = 3,904,053.12
  5. Step 5: Solve for x
    x = 3,904,053.12/1,733.23
  6. Step 6: Final answer
    x = 2,252.47

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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.