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Finding the Fourth Proportional to 4,164.40, 6,248.62 and 1,970.51

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Solution

The fourth proportional to 4,164.40, 6,248.62 and 1,970.51 is: 2,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.40 : 6,248.62 = 1,970.51 : x
  2. Step 2: Convert to fraction form
    4,164.40/6,248.62 = 1,970.51/x
  3. Step 3: Cross multiply
    4,164.40x = 6,248.62 × 1,970.51
  4. Step 4: Simplify right side
    4,164.40x = 12,312,968.20
  5. Step 5: Solve for x
    x = 12,312,968.20/4,164.40
  6. Step 6: Final answer
    x = 2,956.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.