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Finding the Fourth Proportional to 2,498.94, 3,748.40 and 743.93

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Solution

The fourth proportional to 2,498.94, 3,748.40 and 743.93 is: 1,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.94 : 3,748.40 = 743.93 : x
  2. Step 2: Convert to fraction form
    2,498.94/3,748.40 = 743.93/x
  3. Step 3: Cross multiply
    2,498.94x = 3,748.40 × 743.93
  4. Step 4: Simplify right side
    2,498.94x = 2,788,547.21
  5. Step 5: Solve for x
    x = 2,788,547.21/2,498.94
  6. Step 6: Final answer
    x = 1,115.89

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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.