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Finding the Fourth Proportional to 2,430.76, 3,653.44 and 2,139.16

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Solution

The fourth proportional to 2,430.76, 3,653.44 and 2,139.16 is: 3,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.76 : 3,653.44 = 2,139.16 : x
  2. Step 2: Convert to fraction form
    2,430.76/3,653.44 = 2,139.16/x
  3. Step 3: Cross multiply
    2,430.76x = 3,653.44 × 2,139.16
  4. Step 4: Simplify right side
    2,430.76x = 7,815,292.71
  5. Step 5: Solve for x
    x = 7,815,292.71/2,430.76
  6. Step 6: Final answer
    x = 3,215.16

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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.