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Finding the Fourth Proportional to 1,460.34, 2,000.88 and 1,440.87

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Solution

The fourth proportional to 1,460.34, 2,000.88 and 1,440.87 is: 1,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.34 : 2,000.88 = 1,440.87 : x
  2. Step 2: Convert to fraction form
    1,460.34/2,000.88 = 1,440.87/x
  3. Step 3: Cross multiply
    1,460.34x = 2,000.88 × 1,440.87
  4. Step 4: Simplify right side
    1,460.34x = 2,883,000.46
  5. Step 5: Solve for x
    x = 2,883,000.46/1,460.34
  6. Step 6: Final answer
    x = 1,974.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.