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Finding the Fourth Proportional to 1,590.84, 2,196.78 and 1,128.12

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Solution

The fourth proportional to 1,590.84, 2,196.78 and 1,128.12 is: 1,557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.84 : 2,196.78 = 1,128.12 : x
  2. Step 2: Convert to fraction form
    1,590.84/2,196.78 = 1,128.12/x
  3. Step 3: Cross multiply
    1,590.84x = 2,196.78 × 1,128.12
  4. Step 4: Simplify right side
    1,590.84x = 2,478,231.45
  5. Step 5: Solve for x
    x = 2,478,231.45/1,590.84
  6. Step 6: Final answer
    x = 1,557.81

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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.