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Finding the Fourth Proportional to 2,537.62, 3,502.29 and 1,490.02

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Solution

The fourth proportional to 2,537.62, 3,502.29 and 1,490.02 is: 2,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.62 : 3,502.29 = 1,490.02 : x
  2. Step 2: Convert to fraction form
    2,537.62/3,502.29 = 1,490.02/x
  3. Step 3: Cross multiply
    2,537.62x = 3,502.29 × 1,490.02
  4. Step 4: Simplify right side
    2,537.62x = 5,218,482.15
  5. Step 5: Solve for x
    x = 5,218,482.15/2,537.62
  6. Step 6: Final answer
    x = 2,056.45

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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.