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Finding the Fourth Proportional to 1,756.16, 2,423.88 and 1,197.97

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Solution

The fourth proportional to 1,756.16, 2,423.88 and 1,197.97 is: 1,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.16 : 2,423.88 = 1,197.97 : x
  2. Step 2: Convert to fraction form
    1,756.16/2,423.88 = 1,197.97/x
  3. Step 3: Cross multiply
    1,756.16x = 2,423.88 × 1,197.97
  4. Step 4: Simplify right side
    1,756.16x = 2,903,723.40
  5. Step 5: Solve for x
    x = 2,903,723.40/1,756.16
  6. Step 6: Final answer
    x = 1,653.45

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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.