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Finding the Fourth Proportional to 1,741.40, 2,611.59 and 508.48

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Solution

The fourth proportional to 1,741.40, 2,611.59 and 508.48 is: 762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.40 : 2,611.59 = 508.48 : x
  2. Step 2: Convert to fraction form
    1,741.40/2,611.59 = 508.48/x
  3. Step 3: Cross multiply
    1,741.40x = 2,611.59 × 508.48
  4. Step 4: Simplify right side
    1,741.40x = 1,327,941.28
  5. Step 5: Solve for x
    x = 1,327,941.28/1,741.40
  6. Step 6: Final answer
    x = 762.57

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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.