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Finding the Fourth Proportional to 2,602.25, 3,903.76 and 958.66

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Solution

The fourth proportional to 2,602.25, 3,903.76 and 958.66 is: 1,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.25 : 3,903.76 = 958.66 : x
  2. Step 2: Convert to fraction form
    2,602.25/3,903.76 = 958.66/x
  3. Step 3: Cross multiply
    2,602.25x = 3,903.76 × 958.66
  4. Step 4: Simplify right side
    2,602.25x = 3,742,376.94
  5. Step 5: Solve for x
    x = 3,742,376.94/2,602.25
  6. Step 6: Final answer
    x = 1,438.13

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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.