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Finding the Fourth Proportional to 1,974.76, 2,962.21 and 588.14

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Solution

The fourth proportional to 1,974.76, 2,962.21 and 588.14 is: 882.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.76 : 2,962.21 = 588.14 : x
  2. Step 2: Convert to fraction form
    1,974.76/2,962.21 = 588.14/x
  3. Step 3: Cross multiply
    1,974.76x = 2,962.21 × 588.14
  4. Step 4: Simplify right side
    1,974.76x = 1,742,194.19
  5. Step 5: Solve for x
    x = 1,742,194.19/1,974.76
  6. Step 6: Final answer
    x = 882.23

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1.5x scale

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.