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Finding the Fourth Proportional to 2,886.70, 4,330.14 and 1,653.53

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Solution

The fourth proportional to 2,886.70, 4,330.14 and 1,653.53 is: 2,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.70 : 4,330.14 = 1,653.53 : x
  2. Step 2: Convert to fraction form
    2,886.70/4,330.14 = 1,653.53/x
  3. Step 3: Cross multiply
    2,886.70x = 4,330.14 × 1,653.53
  4. Step 4: Simplify right side
    2,886.70x = 7,160,016.39
  5. Step 5: Solve for x
    x = 7,160,016.39/2,886.70
  6. Step 6: Final answer
    x = 2,480.35

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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.