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Finding the Fourth Proportional to 2,152.95, 2,970.35 and 1,208.58

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Solution

The fourth proportional to 2,152.95, 2,970.35 and 1,208.58 is: 1,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.95 : 2,970.35 = 1,208.58 : x
  2. Step 2: Convert to fraction form
    2,152.95/2,970.35 = 1,208.58/x
  3. Step 3: Cross multiply
    2,152.95x = 2,970.35 × 1,208.58
  4. Step 4: Simplify right side
    2,152.95x = 3,589,884.71
  5. Step 5: Solve for x
    x = 3,589,884.71/2,152.95
  6. Step 6: Final answer
    x = 1,667.43

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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.