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Finding the Fourth Proportional to 4,887.77, 7,331.65 and 1,190

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Solution

The fourth proportional to 4,887.77, 7,331.65 and 1,190 is: 1,785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.77 : 7,331.65 = 1,190 : x
  2. Step 2: Convert to fraction form
    4,887.77/7,331.65 = 1,190/x
  3. Step 3: Cross multiply
    4,887.77x = 7,331.65 × 1,190
  4. Step 4: Simplify right side
    4,887.77x = 8,724,663.50
  5. Step 5: Solve for x
    x = 8,724,663.50/4,887.77
  6. Step 6: Final answer
    x = 1,785.00

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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.