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Finding the Fourth Proportional to 1,732.39, 2,599.62 and 637.53

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Solution

The fourth proportional to 1,732.39, 2,599.62 and 637.53 is: 956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.39 : 2,599.62 = 637.53 : x
  2. Step 2: Convert to fraction form
    1,732.39/2,599.62 = 637.53/x
  3. Step 3: Cross multiply
    1,732.39x = 2,599.62 × 637.53
  4. Step 4: Simplify right side
    1,732.39x = 1,657,323.60
  5. Step 5: Solve for x
    x = 1,657,323.60/1,732.39
  6. Step 6: Final answer
    x = 956.67

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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.