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Finding the Fourth Proportional to 1,590.84, 2,369.86 and 1,542.48

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Solution

The fourth proportional to 1,590.84, 2,369.86 and 1,542.48 is: 2,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.84 : 2,369.86 = 1,542.48 : x
  2. Step 2: Convert to fraction form
    1,590.84/2,369.86 = 1,542.48/x
  3. Step 3: Cross multiply
    1,590.84x = 2,369.86 × 1,542.48
  4. Step 4: Simplify right side
    1,590.84x = 3,655,448.91
  5. Step 5: Solve for x
    x = 3,655,448.91/1,590.84
  6. Step 6: Final answer
    x = 2,297.81

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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.