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Finding the Fourth Proportional to 2,154.20, 2,970.84 and 1,407.92

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Solution

The fourth proportional to 2,154.20, 2,970.84 and 1,407.92 is: 1,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.20 : 2,970.84 = 1,407.92 : x
  2. Step 2: Convert to fraction form
    2,154.20/2,970.84 = 1,407.92/x
  3. Step 3: Cross multiply
    2,154.20x = 2,970.84 × 1,407.92
  4. Step 4: Simplify right side
    2,154.20x = 4,182,705.05
  5. Step 5: Solve for x
    x = 4,182,705.05/2,154.20
  6. Step 6: Final answer
    x = 1,941.65

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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.