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Finding the Fourth Proportional to 2,140.40, 3,210.51 and 601.40

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Solution

The fourth proportional to 2,140.40, 3,210.51 and 601.40 is: 902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.40 : 3,210.51 = 601.40 : x
  2. Step 2: Convert to fraction form
    2,140.40/3,210.51 = 601.40/x
  3. Step 3: Cross multiply
    2,140.40x = 3,210.51 × 601.40
  4. Step 4: Simplify right side
    2,140.40x = 1,930,800.71
  5. Step 5: Solve for x
    x = 1,930,800.71/2,140.40
  6. Step 6: Final answer
    x = 902.07

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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.