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Finding the Fourth Proportional to 2,457.95, 3,686.92 and 2,024.19

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Solution

The fourth proportional to 2,457.95, 3,686.92 and 2,024.19 is: 3,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.95 : 3,686.92 = 2,024.19 : x
  2. Step 2: Convert to fraction form
    2,457.95/3,686.92 = 2,024.19/x
  3. Step 3: Cross multiply
    2,457.95x = 3,686.92 × 2,024.19
  4. Step 4: Simplify right side
    2,457.95x = 7,463,026.59
  5. Step 5: Solve for x
    x = 7,463,026.59/2,457.95
  6. Step 6: Final answer
    x = 3,036.28

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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.