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Finding the Fourth Proportional to 2,972.51, 4,457.74 and 1,024.26

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Solution

The fourth proportional to 2,972.51, 4,457.74 and 1,024.26 is: 1,536.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.51 : 4,457.74 = 1,024.26 : x
  2. Step 2: Convert to fraction form
    2,972.51/4,457.74 = 1,024.26/x
  3. Step 3: Cross multiply
    2,972.51x = 4,457.74 × 1,024.26
  4. Step 4: Simplify right side
    2,972.51x = 4,565,884.77
  5. Step 5: Solve for x
    x = 4,565,884.77/2,972.51
  6. Step 6: Final answer
    x = 1,536.04

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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.