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Finding the Fourth Proportional to 2,430.77, 3,649.80 and 1,391.95

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Solution

The fourth proportional to 2,430.77, 3,649.80 and 1,391.95 is: 2,090.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.77 : 3,649.80 = 1,391.95 : x
  2. Step 2: Convert to fraction form
    2,430.77/3,649.80 = 1,391.95/x
  3. Step 3: Cross multiply
    2,430.77x = 3,649.80 × 1,391.95
  4. Step 4: Simplify right side
    2,430.77x = 5,080,320.86
  5. Step 5: Solve for x
    x = 5,080,320.86/2,430.77
  6. Step 6: Final answer
    x = 2,090.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.