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Finding the Fourth Proportional to 2,320.53, 3,480.80 and 565.53

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Solution

The fourth proportional to 2,320.53, 3,480.80 and 565.53 is: 848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.53 : 3,480.80 = 565.53 : x
  2. Step 2: Convert to fraction form
    2,320.53/3,480.80 = 565.53/x
  3. Step 3: Cross multiply
    2,320.53x = 3,480.80 × 565.53
  4. Step 4: Simplify right side
    2,320.53x = 1,968,494.00
  5. Step 5: Solve for x
    x = 1,968,494.00/2,320.53
  6. Step 6: Final answer
    x = 848.30

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