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Finding the Fourth Proportional to 2,328.57, 3,482.06 and 1,802.61

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Solution

The fourth proportional to 2,328.57, 3,482.06 and 1,802.61 is: 2,695.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.57 : 3,482.06 = 1,802.61 : x
  2. Step 2: Convert to fraction form
    2,328.57/3,482.06 = 1,802.61/x
  3. Step 3: Cross multiply
    2,328.57x = 3,482.06 × 1,802.61
  4. Step 4: Simplify right side
    2,328.57x = 6,276,787.16
  5. Step 5: Solve for x
    x = 6,276,787.16/2,328.57
  6. Step 6: Final answer
    x = 2,695.55

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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.