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Finding the Fourth Proportional to 1,566.15, 2,347.67 and 783.77

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Solution

The fourth proportional to 1,566.15, 2,347.67 and 783.77 is: 1,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.15 : 2,347.67 = 783.77 : x
  2. Step 2: Convert to fraction form
    1,566.15/2,347.67 = 783.77/x
  3. Step 3: Cross multiply
    1,566.15x = 2,347.67 × 783.77
  4. Step 4: Simplify right side
    1,566.15x = 1,840,019.13
  5. Step 5: Solve for x
    x = 1,840,019.13/1,566.15
  6. Step 6: Final answer
    x = 1,174.87

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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.