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Finding the Fourth Proportional to 1,507.63, 2,261.18 and 411.74

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Solution

The fourth proportional to 1,507.63, 2,261.18 and 411.74 is: 617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.63 : 2,261.18 = 411.74 : x
  2. Step 2: Convert to fraction form
    1,507.63/2,261.18 = 411.74/x
  3. Step 3: Cross multiply
    1,507.63x = 2,261.18 × 411.74
  4. Step 4: Simplify right side
    1,507.63x = 931,007.98
  5. Step 5: Solve for x
    x = 931,007.98/1,507.63
  6. Step 6: Final answer
    x = 617.53

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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.