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Finding the Fourth Proportional to 2,457.83, 3,683.84 and 2,430.42

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Solution

The fourth proportional to 2,457.83, 3,683.84 and 2,430.42 is: 3,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.83 : 3,683.84 = 2,430.42 : x
  2. Step 2: Convert to fraction form
    2,457.83/3,683.84 = 2,430.42/x
  3. Step 3: Cross multiply
    2,457.83x = 3,683.84 × 2,430.42
  4. Step 4: Simplify right side
    2,457.83x = 8,953,266.26
  5. Step 5: Solve for x
    x = 8,953,266.26/2,457.83
  6. Step 6: Final answer
    x = 3,642.76

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1.5x scale

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.