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Finding the Fourth Proportional to 3,051.74, 4,577.56 and 971.88

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Solution

The fourth proportional to 3,051.74, 4,577.56 and 971.88 is: 1,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.74 : 4,577.56 = 971.88 : x
  2. Step 2: Convert to fraction form
    3,051.74/4,577.56 = 971.88/x
  3. Step 3: Cross multiply
    3,051.74x = 4,577.56 × 971.88
  4. Step 4: Simplify right side
    3,051.74x = 4,448,839.01
  5. Step 5: Solve for x
    x = 4,448,839.01/3,051.74
  6. Step 6: Final answer
    x = 1,457.80

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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.