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Finding the Fourth Proportional to 2,424.61, 3,346.21 and 1,430.21

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Solution

The fourth proportional to 2,424.61, 3,346.21 and 1,430.21 is: 1,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.61 : 3,346.21 = 1,430.21 : x
  2. Step 2: Convert to fraction form
    2,424.61/3,346.21 = 1,430.21/x
  3. Step 3: Cross multiply
    2,424.61x = 3,346.21 × 1,430.21
  4. Step 4: Simplify right side
    2,424.61x = 4,785,783.00
  5. Step 5: Solve for x
    x = 4,785,783.00/2,424.61
  6. Step 6: Final answer
    x = 1,973.84

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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.