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Finding the Fourth Proportional to 2,505.76, 3,457.93 and 1,497.93

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Solution

The fourth proportional to 2,505.76, 3,457.93 and 1,497.93 is: 2,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.76 : 3,457.93 = 1,497.93 : x
  2. Step 2: Convert to fraction form
    2,505.76/3,457.93 = 1,497.93/x
  3. Step 3: Cross multiply
    2,505.76x = 3,457.93 × 1,497.93
  4. Step 4: Simplify right side
    2,505.76x = 5,179,737.08
  5. Step 5: Solve for x
    x = 5,179,737.08/2,505.76
  6. Step 6: Final answer
    x = 2,067.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.