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Finding the Fourth Proportional to 1,655.21, 2,470.24 and 1,588.23

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Solution

The fourth proportional to 1,655.21, 2,470.24 and 1,588.23 is: 2,370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.21 : 2,470.24 = 1,588.23 : x
  2. Step 2: Convert to fraction form
    1,655.21/2,470.24 = 1,588.23/x
  3. Step 3: Cross multiply
    1,655.21x = 2,470.24 × 1,588.23
  4. Step 4: Simplify right side
    1,655.21x = 3,923,301.33
  5. Step 5: Solve for x
    x = 3,923,301.33/1,655.21
  6. Step 6: Final answer
    x = 2,370.28

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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.