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Finding the Fourth Proportional to 1,459.10, 2,014 and 962.12

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Solution

The fourth proportional to 1,459.10, 2,014 and 962.12 is: 1,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.10 : 2,014 = 962.12 : x
  2. Step 2: Convert to fraction form
    1,459.10/2,014 = 962.12/x
  3. Step 3: Cross multiply
    1,459.10x = 2,014 × 962.12
  4. Step 4: Simplify right side
    1,459.10x = 1,937,709.68
  5. Step 5: Solve for x
    x = 1,937,709.68/1,459.10
  6. Step 6: Final answer
    x = 1,328.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.