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Finding the Fourth Proportional to 2,148.62, 2,966.72 and 1,705.77

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Solution

The fourth proportional to 2,148.62, 2,966.72 and 1,705.77 is: 2,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.62 : 2,966.72 = 1,705.77 : x
  2. Step 2: Convert to fraction form
    2,148.62/2,966.72 = 1,705.77/x
  3. Step 3: Cross multiply
    2,148.62x = 2,966.72 × 1,705.77
  4. Step 4: Simplify right side
    2,148.62x = 5,060,533.45
  5. Step 5: Solve for x
    x = 5,060,533.45/2,148.62
  6. Step 6: Final answer
    x = 2,355.25

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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.