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Finding the Fourth Proportional to 3,057.34, 4,585.63 and 977.17

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Solution

The fourth proportional to 3,057.34, 4,585.63 and 977.17 is: 1,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.34 : 4,585.63 = 977.17 : x
  2. Step 2: Convert to fraction form
    3,057.34/4,585.63 = 977.17/x
  3. Step 3: Cross multiply
    3,057.34x = 4,585.63 × 977.17
  4. Step 4: Simplify right side
    3,057.34x = 4,480,941.52
  5. Step 5: Solve for x
    x = 4,480,941.52/3,057.34
  6. Step 6: Final answer
    x = 1,465.63

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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.