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Finding the Fourth Proportional to 2,973.42, 4,457.34 and 1,024.26

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Solution

The fourth proportional to 2,973.42, 4,457.34 and 1,024.26 is: 1,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.42 : 4,457.34 = 1,024.26 : x
  2. Step 2: Convert to fraction form
    2,973.42/4,457.34 = 1,024.26/x
  3. Step 3: Cross multiply
    2,973.42x = 4,457.34 × 1,024.26
  4. Step 4: Simplify right side
    2,973.42x = 4,565,475.07
  5. Step 5: Solve for x
    x = 4,565,475.07/2,973.42
  6. Step 6: Final answer
    x = 1,535.43

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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.