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Finding the Fourth Proportional to 1,515.21, 2,271.99 and 474.93

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Solution

The fourth proportional to 1,515.21, 2,271.99 and 474.93 is: 712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.21 : 2,271.99 = 474.93 : x
  2. Step 2: Convert to fraction form
    1,515.21/2,271.99 = 474.93/x
  3. Step 3: Cross multiply
    1,515.21x = 2,271.99 × 474.93
  4. Step 4: Simplify right side
    1,515.21x = 1,079,036.21
  5. Step 5: Solve for x
    x = 1,079,036.21/1,515.21
  6. Step 6: Final answer
    x = 712.14

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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.