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Finding the Fourth Proportional to 2,491.43, 3,436.58 and 1,497.02

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Solution

The fourth proportional to 2,491.43, 3,436.58 and 1,497.02 is: 2,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.43 : 3,436.58 = 1,497.02 : x
  2. Step 2: Convert to fraction form
    2,491.43/3,436.58 = 1,497.02/x
  3. Step 3: Cross multiply
    2,491.43x = 3,436.58 × 1,497.02
  4. Step 4: Simplify right side
    2,491.43x = 5,144,621.51
  5. Step 5: Solve for x
    x = 5,144,621.51/2,491.43
  6. Step 6: Final answer
    x = 2,064.93

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