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Finding the Fourth Proportional to 1,952.96, 2,926.32 and 1,430.54

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Solution

The fourth proportional to 1,952.96, 2,926.32 and 1,430.54 is: 2,143.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.96 : 2,926.32 = 1,430.54 : x
  2. Step 2: Convert to fraction form
    1,952.96/2,926.32 = 1,430.54/x
  3. Step 3: Cross multiply
    1,952.96x = 2,926.32 × 1,430.54
  4. Step 4: Simplify right side
    1,952.96x = 4,186,217.81
  5. Step 5: Solve for x
    x = 4,186,217.81/1,952.96
  6. Step 6: Final answer
    x = 2,143.52

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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.