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Finding the Fourth Proportional to 1,856.46, 2,782.77 and 802.95

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Solution

The fourth proportional to 1,856.46, 2,782.77 and 802.95 is: 1,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.46 : 2,782.77 = 802.95 : x
  2. Step 2: Convert to fraction form
    1,856.46/2,782.77 = 802.95/x
  3. Step 3: Cross multiply
    1,856.46x = 2,782.77 × 802.95
  4. Step 4: Simplify right side
    1,856.46x = 2,234,425.17
  5. Step 5: Solve for x
    x = 2,234,425.17/1,856.46
  6. Step 6: Final answer
    x = 1,203.59

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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.