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Finding the Fourth Proportional to 2,457.42, 3,683.95 and 1,762.34

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Solution

The fourth proportional to 2,457.42, 3,683.95 and 1,762.34 is: 2,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.42 : 3,683.95 = 1,762.34 : x
  2. Step 2: Convert to fraction form
    2,457.42/3,683.95 = 1,762.34/x
  3. Step 3: Cross multiply
    2,457.42x = 3,683.95 × 1,762.34
  4. Step 4: Simplify right side
    2,457.42x = 6,492,372.44
  5. Step 5: Solve for x
    x = 6,492,372.44/2,457.42
  6. Step 6: Final answer
    x = 2,641.95

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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.