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Finding the Fourth Proportional to 1,776.77, 2,666.54 and 1,434.30

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Solution

The fourth proportional to 1,776.77, 2,666.54 and 1,434.30 is: 2,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.77 : 2,666.54 = 1,434.30 : x
  2. Step 2: Convert to fraction form
    1,776.77/2,666.54 = 1,434.30/x
  3. Step 3: Cross multiply
    1,776.77x = 2,666.54 × 1,434.30
  4. Step 4: Simplify right side
    1,776.77x = 3,824,603.84
  5. Step 5: Solve for x
    x = 3,824,603.84/1,776.77
  6. Step 6: Final answer
    x = 2,152.55

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Why These Related Problems?

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