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Finding the Fourth Proportional to 2,475.99, 3,714.71 and 1,014.63

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Solution

The fourth proportional to 2,475.99, 3,714.71 and 1,014.63 is: 1,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.99 : 3,714.71 = 1,014.63 : x
  2. Step 2: Convert to fraction form
    2,475.99/3,714.71 = 1,014.63/x
  3. Step 3: Cross multiply
    2,475.99x = 3,714.71 × 1,014.63
  4. Step 4: Simplify right side
    2,475.99x = 3,769,051.13
  5. Step 5: Solve for x
    x = 3,769,051.13/2,475.99
  6. Step 6: Final answer
    x = 1,522.24

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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.