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Finding the Fourth Proportional to 2,619.30, 3,926.46 and 975.40

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Solution

The fourth proportional to 2,619.30, 3,926.46 and 975.40 is: 1,462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.30 : 3,926.46 = 975.40 : x
  2. Step 2: Convert to fraction form
    2,619.30/3,926.46 = 975.40/x
  3. Step 3: Cross multiply
    2,619.30x = 3,926.46 × 975.40
  4. Step 4: Simplify right side
    2,619.30x = 3,829,869.08
  5. Step 5: Solve for x
    x = 3,829,869.08/2,619.30
  6. Step 6: Final answer
    x = 1,462.17

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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.