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Finding the Fourth Proportional to 2,363.58, 3,260.79 and 1,430.46

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Solution

The fourth proportional to 2,363.58, 3,260.79 and 1,430.46 is: 1,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.58 : 3,260.79 = 1,430.46 : x
  2. Step 2: Convert to fraction form
    2,363.58/3,260.79 = 1,430.46/x
  3. Step 3: Cross multiply
    2,363.58x = 3,260.79 × 1,430.46
  4. Step 4: Simplify right side
    2,363.58x = 4,664,429.66
  5. Step 5: Solve for x
    x = 4,664,429.66/2,363.58
  6. Step 6: Final answer
    x = 1,973.46

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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.