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Finding the Fourth Proportional to 1,795.98, 2,475.45 and 1,421.22

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Solution

The fourth proportional to 1,795.98, 2,475.45 and 1,421.22 is: 1,958.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.98 : 2,475.45 = 1,421.22 : x
  2. Step 2: Convert to fraction form
    1,795.98/2,475.45 = 1,421.22/x
  3. Step 3: Cross multiply
    1,795.98x = 2,475.45 × 1,421.22
  4. Step 4: Simplify right side
    1,795.98x = 3,518,159.05
  5. Step 5: Solve for x
    x = 3,518,159.05/1,795.98
  6. Step 6: Final answer
    x = 1,958.91

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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.