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Finding the Fourth Proportional to 2,457.74, 3,688.13 and 996.91

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Solution

The fourth proportional to 2,457.74, 3,688.13 and 996.91 is: 1,495.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.74 : 3,688.13 = 996.91 : x
  2. Step 2: Convert to fraction form
    2,457.74/3,688.13 = 996.91/x
  3. Step 3: Cross multiply
    2,457.74x = 3,688.13 × 996.91
  4. Step 4: Simplify right side
    2,457.74x = 3,676,710.25
  5. Step 5: Solve for x
    x = 3,676,710.25/2,457.74
  6. Step 6: Final answer
    x = 1,495.97

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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.