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Finding the Fourth Proportional to 1,677.96, 2,502.54 and 1,590.48

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Solution

The fourth proportional to 1,677.96, 2,502.54 and 1,590.48 is: 2,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.96 : 2,502.54 = 1,590.48 : x
  2. Step 2: Convert to fraction form
    1,677.96/2,502.54 = 1,590.48/x
  3. Step 3: Cross multiply
    1,677.96x = 2,502.54 × 1,590.48
  4. Step 4: Simplify right side
    1,677.96x = 3,980,239.82
  5. Step 5: Solve for x
    x = 3,980,239.82/1,677.96
  6. Step 6: Final answer
    x = 2,372.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.