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Finding the Fourth Proportional to 1,965.16, 2,946.96 and 578.02

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Solution

The fourth proportional to 1,965.16, 2,946.96 and 578.02 is: 866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.16 : 2,946.96 = 578.02 : x
  2. Step 2: Convert to fraction form
    1,965.16/2,946.96 = 578.02/x
  3. Step 3: Cross multiply
    1,965.16x = 2,946.96 × 578.02
  4. Step 4: Simplify right side
    1,965.16x = 1,703,401.82
  5. Step 5: Solve for x
    x = 1,703,401.82/1,965.16
  6. Step 6: Final answer
    x = 866.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.