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Finding the Fourth Proportional to 1,523.90, 2,288.88 and 1,437.93

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Solution

The fourth proportional to 1,523.90, 2,288.88 and 1,437.93 is: 2,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.90 : 2,288.88 = 1,437.93 : x
  2. Step 2: Convert to fraction form
    1,523.90/2,288.88 = 1,437.93/x
  3. Step 3: Cross multiply
    1,523.90x = 2,288.88 × 1,437.93
  4. Step 4: Simplify right side
    1,523.90x = 3,291,249.22
  5. Step 5: Solve for x
    x = 3,291,249.22/1,523.90
  6. Step 6: Final answer
    x = 2,159.76

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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.