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Finding the Fourth Proportional to 2,430.63, 3,355.29 and 1,645.74

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Solution

The fourth proportional to 2,430.63, 3,355.29 and 1,645.74 is: 2,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.63 : 3,355.29 = 1,645.74 : x
  2. Step 2: Convert to fraction form
    2,430.63/3,355.29 = 1,645.74/x
  3. Step 3: Cross multiply
    2,430.63x = 3,355.29 × 1,645.74
  4. Step 4: Simplify right side
    2,430.63x = 5,521,934.96
  5. Step 5: Solve for x
    x = 5,521,934.96/2,430.63
  6. Step 6: Final answer
    x = 2,271.81

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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.