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Finding the Fourth Proportional to 1,968.96, 2,953.42 and 507.98

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Solution

The fourth proportional to 1,968.96, 2,953.42 and 507.98 is: 761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.96 : 2,953.42 = 507.98 : x
  2. Step 2: Convert to fraction form
    1,968.96/2,953.42 = 507.98/x
  3. Step 3: Cross multiply
    1,968.96x = 2,953.42 × 507.98
  4. Step 4: Simplify right side
    1,968.96x = 1,500,278.29
  5. Step 5: Solve for x
    x = 1,500,278.29/1,968.96
  6. Step 6: Final answer
    x = 761.96

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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.