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Finding the Fourth Proportional to 3,143.99, 4,714.61 and 1,583.01

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Solution

The fourth proportional to 3,143.99, 4,714.61 and 1,583.01 is: 2,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.99 : 4,714.61 = 1,583.01 : x
  2. Step 2: Convert to fraction form
    3,143.99/4,714.61 = 1,583.01/x
  3. Step 3: Cross multiply
    3,143.99x = 4,714.61 × 1,583.01
  4. Step 4: Simplify right side
    3,143.99x = 7,463,266.86
  5. Step 5: Solve for x
    x = 7,463,266.86/3,143.99
  6. Step 6: Final answer
    x = 2,373.82

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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.