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Finding the Fourth Proportional to 2,497.84, 3,748.43 and 1,037.00

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Solution

The fourth proportional to 2,497.84, 3,748.43 and 1,037.00 is: 1,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.84 : 3,748.43 = 1,037.00 : x
  2. Step 2: Convert to fraction form
    2,497.84/3,748.43 = 1,037.00/x
  3. Step 3: Cross multiply
    2,497.84x = 3,748.43 × 1,037.00
  4. Step 4: Simplify right side
    2,497.84x = 3,887,103.17
  5. Step 5: Solve for x
    x = 3,887,103.17/2,497.84
  6. Step 6: Final answer
    x = 1,556.19

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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.