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Finding the Fourth Proportional to 2,538.48, 3,502.40 and 1,490.16

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Solution

The fourth proportional to 2,538.48, 3,502.40 and 1,490.16 is: 2,056.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.48 : 3,502.40 = 1,490.16 : x
  2. Step 2: Convert to fraction form
    2,538.48/3,502.40 = 1,490.16/x
  3. Step 3: Cross multiply
    2,538.48x = 3,502.40 × 1,490.16
  4. Step 4: Simplify right side
    2,538.48x = 5,219,136.38
  5. Step 5: Solve for x
    x = 5,219,136.38/2,538.48
  6. Step 6: Final answer
    x = 2,056.01

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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.