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Finding the Fourth Proportional to 1,555.36, 2,334 and 582.16

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Solution

The fourth proportional to 1,555.36, 2,334 and 582.16 is: 873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.36 : 2,334 = 582.16 : x
  2. Step 2: Convert to fraction form
    1,555.36/2,334 = 582.16/x
  3. Step 3: Cross multiply
    1,555.36x = 2,334 × 582.16
  4. Step 4: Simplify right side
    1,555.36x = 1,358,761.44
  5. Step 5: Solve for x
    x = 1,358,761.44/1,555.36
  6. Step 6: Final answer
    x = 873.60

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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.