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Finding the Fourth Proportional to 2,457.42, 3,686.13 and 608.54

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Solution

The fourth proportional to 2,457.42, 3,686.13 and 608.54 is: 912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.42 : 3,686.13 = 608.54 : x
  2. Step 2: Convert to fraction form
    2,457.42/3,686.13 = 608.54/x
  3. Step 3: Cross multiply
    2,457.42x = 3,686.13 × 608.54
  4. Step 4: Simplify right side
    2,457.42x = 2,243,139.12
  5. Step 5: Solve for x
    x = 2,243,139.12/2,457.42
  6. Step 6: Final answer
    x = 912.80

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Why These Related Problems?

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