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Finding the Fourth Proportional to 2,154.24, 2,970.72 and 1,368

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Solution

The fourth proportional to 2,154.24, 2,970.72 and 1,368 is: 1,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.24 : 2,970.72 = 1,368 : x
  2. Step 2: Convert to fraction form
    2,154.24/2,970.72 = 1,368/x
  3. Step 3: Cross multiply
    2,154.24x = 2,970.72 × 1,368
  4. Step 4: Simplify right side
    2,154.24x = 4,063,944.96
  5. Step 5: Solve for x
    x = 4,063,944.96/2,154.24
  6. Step 6: Final answer
    x = 1,886.49

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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.