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Finding the Fourth Proportional to 1,740.42, 2,398.91 and 1,235.63

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Solution

The fourth proportional to 1,740.42, 2,398.91 and 1,235.63 is: 1,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.42 : 2,398.91 = 1,235.63 : x
  2. Step 2: Convert to fraction form
    1,740.42/2,398.91 = 1,235.63/x
  3. Step 3: Cross multiply
    1,740.42x = 2,398.91 × 1,235.63
  4. Step 4: Simplify right side
    1,740.42x = 2,964,164.98
  5. Step 5: Solve for x
    x = 2,964,164.98/1,740.42
  6. Step 6: Final answer
    x = 1,703.13

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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.