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Finding the Fourth Proportional to 1,561.63, 2,331.01 and 1,377.12

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Solution

The fourth proportional to 1,561.63, 2,331.01 and 1,377.12 is: 2,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.63 : 2,331.01 = 1,377.12 : x
  2. Step 2: Convert to fraction form
    1,561.63/2,331.01 = 1,377.12/x
  3. Step 3: Cross multiply
    1,561.63x = 2,331.01 × 1,377.12
  4. Step 4: Simplify right side
    1,561.63x = 3,210,080.49
  5. Step 5: Solve for x
    x = 3,210,080.49/1,561.63
  6. Step 6: Final answer
    x = 2,055.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.