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Finding the Fourth Proportional to 3,050.99, 4,577.80 and 971.17

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Solution

The fourth proportional to 3,050.99, 4,577.80 and 971.17 is: 1,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.99 : 4,577.80 = 971.17 : x
  2. Step 2: Convert to fraction form
    3,050.99/4,577.80 = 971.17/x
  3. Step 3: Cross multiply
    3,050.99x = 4,577.80 × 971.17
  4. Step 4: Simplify right side
    3,050.99x = 4,445,794.28
  5. Step 5: Solve for x
    x = 4,445,794.28/3,050.99
  6. Step 6: Final answer
    x = 1,457.16

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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.