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Finding the Fourth Proportional to 2,403.71, 3,316.61 and 1,460.00

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Solution

The fourth proportional to 2,403.71, 3,316.61 and 1,460.00 is: 2,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.71 : 3,316.61 = 1,460.00 : x
  2. Step 2: Convert to fraction form
    2,403.71/3,316.61 = 1,460.00/x
  3. Step 3: Cross multiply
    2,403.71x = 3,316.61 × 1,460.00
  4. Step 4: Simplify right side
    2,403.71x = 4,842,234.02
  5. Step 5: Solve for x
    x = 4,842,234.02/2,403.71
  6. Step 6: Final answer
    x = 2,014.48

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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.