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Finding the Fourth Proportional to 1,597.84, 2,205.44 and 968.74

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Solution

The fourth proportional to 1,597.84, 2,205.44 and 968.74 is: 1,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.84 : 2,205.44 = 968.74 : x
  2. Step 2: Convert to fraction form
    1,597.84/2,205.44 = 968.74/x
  3. Step 3: Cross multiply
    1,597.84x = 2,205.44 × 968.74
  4. Step 4: Simplify right side
    1,597.84x = 2,136,497.95
  5. Step 5: Solve for x
    x = 2,136,497.95/1,597.84
  6. Step 6: Final answer
    x = 1,337.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.