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Finding the Fourth Proportional to 1,525.69, 2,103.41 and 1,211.99

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Solution

The fourth proportional to 1,525.69, 2,103.41 and 1,211.99 is: 1,670.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.69 : 2,103.41 = 1,211.99 : x
  2. Step 2: Convert to fraction form
    1,525.69/2,103.41 = 1,211.99/x
  3. Step 3: Cross multiply
    1,525.69x = 2,103.41 × 1,211.99
  4. Step 4: Simplify right side
    1,525.69x = 2,549,320.17
  5. Step 5: Solve for x
    x = 2,549,320.17/1,525.69
  6. Step 6: Final answer
    x = 1,670.93

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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.