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Finding the Fourth Proportional to 1,538.99, 2,302.66 and 943.88

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Solution

The fourth proportional to 1,538.99, 2,302.66 and 943.88 is: 1,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.99 : 2,302.66 = 943.88 : x
  2. Step 2: Convert to fraction form
    1,538.99/2,302.66 = 943.88/x
  3. Step 3: Cross multiply
    1,538.99x = 2,302.66 × 943.88
  4. Step 4: Simplify right side
    1,538.99x = 2,173,430.00
  5. Step 5: Solve for x
    x = 2,173,430.00/1,538.99
  6. Step 6: Final answer
    x = 1,412.25

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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.