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Finding the Fourth Proportional to 1,744.16, 2,602.64 and 1,588.91

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Solution

The fourth proportional to 1,744.16, 2,602.64 and 1,588.91 is: 2,370.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.16 : 2,602.64 = 1,588.91 : x
  2. Step 2: Convert to fraction form
    1,744.16/2,602.64 = 1,588.91/x
  3. Step 3: Cross multiply
    1,744.16x = 2,602.64 × 1,588.91
  4. Step 4: Simplify right side
    1,744.16x = 4,135,351.68
  5. Step 5: Solve for x
    x = 4,135,351.68/1,744.16
  6. Step 6: Final answer
    x = 2,370.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.