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Finding the Fourth Proportional to 2,317.54, 3,476.31 and 586.16

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Solution

The fourth proportional to 2,317.54, 3,476.31 and 586.16 is: 879.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.54 : 3,476.31 = 586.16 : x
  2. Step 2: Convert to fraction form
    2,317.54/3,476.31 = 586.16/x
  3. Step 3: Cross multiply
    2,317.54x = 3,476.31 × 586.16
  4. Step 4: Simplify right side
    2,317.54x = 2,037,670.94
  5. Step 5: Solve for x
    x = 2,037,670.94/2,317.54
  6. Step 6: Final answer
    x = 879.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.