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Finding the Fourth Proportional to 1,525.94, 2,290.18 and 795.74

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Solution

The fourth proportional to 1,525.94, 2,290.18 and 795.74 is: 1,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.94 : 2,290.18 = 795.74 : x
  2. Step 2: Convert to fraction form
    1,525.94/2,290.18 = 795.74/x
  3. Step 3: Cross multiply
    1,525.94x = 2,290.18 × 795.74
  4. Step 4: Simplify right side
    1,525.94x = 1,822,387.83
  5. Step 5: Solve for x
    x = 1,822,387.83/1,525.94
  6. Step 6: Final answer
    x = 1,194.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.