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Finding the Fourth Proportional to 2,154.87, 2,970.27 and 1,656.72

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Solution

The fourth proportional to 2,154.87, 2,970.27 and 1,656.72 is: 2,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.87 : 2,970.27 = 1,656.72 : x
  2. Step 2: Convert to fraction form
    2,154.87/2,970.27 = 1,656.72/x
  3. Step 3: Cross multiply
    2,154.87x = 2,970.27 × 1,656.72
  4. Step 4: Simplify right side
    2,154.87x = 4,920,905.71
  5. Step 5: Solve for x
    x = 4,920,905.71/2,154.87
  6. Step 6: Final answer
    x = 2,283.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.