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Finding the Fourth Proportional to 1,856.46, 2,782.83 and 761.13

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Solution

The fourth proportional to 1,856.46, 2,782.83 and 761.13 is: 1,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.46 : 2,782.83 = 761.13 : x
  2. Step 2: Convert to fraction form
    1,856.46/2,782.83 = 761.13/x
  3. Step 3: Cross multiply
    1,856.46x = 2,782.83 × 761.13
  4. Step 4: Simplify right side
    1,856.46x = 2,118,095.40
  5. Step 5: Solve for x
    x = 2,118,095.40/1,856.46
  6. Step 6: Final answer
    x = 1,140.93

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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.