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Finding the Fourth Proportional to 1,770.08, 2,655.21 and 948.93

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Solution

The fourth proportional to 1,770.08, 2,655.21 and 948.93 is: 1,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.08 : 2,655.21 = 948.93 : x
  2. Step 2: Convert to fraction form
    1,770.08/2,655.21 = 948.93/x
  3. Step 3: Cross multiply
    1,770.08x = 2,655.21 × 948.93
  4. Step 4: Simplify right side
    1,770.08x = 2,519,608.43
  5. Step 5: Solve for x
    x = 2,519,608.43/1,770.08
  6. Step 6: Final answer
    x = 1,423.45

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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.