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Finding the Fourth Proportional to 2,537.66, 3,502.24 and 1,490.06

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Solution

The fourth proportional to 2,537.66, 3,502.24 and 1,490.06 is: 2,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.66 : 3,502.24 = 1,490.06 : x
  2. Step 2: Convert to fraction form
    2,537.66/3,502.24 = 1,490.06/x
  3. Step 3: Cross multiply
    2,537.66x = 3,502.24 × 1,490.06
  4. Step 4: Simplify right side
    2,537.66x = 5,218,547.73
  5. Step 5: Solve for x
    x = 5,218,547.73/2,537.66
  6. Step 6: Final answer
    x = 2,056.44

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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.