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Finding the Fourth Proportional to 2,602.68, 3,905.80 and 1,142.24

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Solution

The fourth proportional to 2,602.68, 3,905.80 and 1,142.24 is: 1,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.68 : 3,905.80 = 1,142.24 : x
  2. Step 2: Convert to fraction form
    2,602.68/3,905.80 = 1,142.24/x
  3. Step 3: Cross multiply
    2,602.68x = 3,905.80 × 1,142.24
  4. Step 4: Simplify right side
    2,602.68x = 4,461,360.99
  5. Step 5: Solve for x
    x = 4,461,360.99/2,602.68
  6. Step 6: Final answer
    x = 1,714.14

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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.