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Finding the Fourth Proportional to 2,315.61, 3,193.62 and 1,430.78

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Solution

The fourth proportional to 2,315.61, 3,193.62 and 1,430.78 is: 1,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.61 : 3,193.62 = 1,430.78 : x
  2. Step 2: Convert to fraction form
    2,315.61/3,193.62 = 1,430.78/x
  3. Step 3: Cross multiply
    2,315.61x = 3,193.62 × 1,430.78
  4. Step 4: Simplify right side
    2,315.61x = 4,569,351.66
  5. Step 5: Solve for x
    x = 4,569,351.66/2,315.61
  6. Step 6: Final answer
    x = 1,973.28

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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.