Home / 1,770.08-2,442.26-1,106.70

Finding the Fourth Proportional to 1,770.08, 2,442.26 and 1,106.70

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Solution

The fourth proportional to 1,770.08, 2,442.26 and 1,106.70 is: 1,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.08 : 2,442.26 = 1,106.70 : x
  2. Step 2: Convert to fraction form
    1,770.08/2,442.26 = 1,106.70/x
  3. Step 3: Cross multiply
    1,770.08x = 2,442.26 × 1,106.70
  4. Step 4: Simplify right side
    1,770.08x = 2,702,849.14
  5. Step 5: Solve for x
    x = 2,702,849.14/1,770.08
  6. Step 6: Final answer
    x = 1,526.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.