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Finding the Fourth Proportional to 1,523.70, 2,285.55 and 1,369.80

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Solution

The fourth proportional to 1,523.70, 2,285.55 and 1,369.80 is: 2,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.70 : 2,285.55 = 1,369.80 : x
  2. Step 2: Convert to fraction form
    1,523.70/2,285.55 = 1,369.80/x
  3. Step 3: Cross multiply
    1,523.70x = 2,285.55 × 1,369.80
  4. Step 4: Simplify right side
    1,523.70x = 3,130,746.39
  5. Step 5: Solve for x
    x = 3,130,746.39/1,523.70
  6. Step 6: Final answer
    x = 2,054.70

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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.