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Finding the Fourth Proportional to 1,856.94, 2,783.04 and 802.32

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Solution

The fourth proportional to 1,856.94, 2,783.04 and 802.32 is: 1,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.94 : 2,783.04 = 802.32 : x
  2. Step 2: Convert to fraction form
    1,856.94/2,783.04 = 802.32/x
  3. Step 3: Cross multiply
    1,856.94x = 2,783.04 × 802.32
  4. Step 4: Simplify right side
    1,856.94x = 2,232,888.65
  5. Step 5: Solve for x
    x = 2,232,888.65/1,856.94
  6. Step 6: Final answer
    x = 1,202.46

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