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Finding the Fourth Proportional to 3,058.95, 4,586.18 and 977.75

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Solution

The fourth proportional to 3,058.95, 4,586.18 and 977.75 is: 1,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.95 : 4,586.18 = 977.75 : x
  2. Step 2: Convert to fraction form
    3,058.95/4,586.18 = 977.75/x
  3. Step 3: Cross multiply
    3,058.95x = 4,586.18 × 977.75
  4. Step 4: Simplify right side
    3,058.95x = 4,484,144.07
  5. Step 5: Solve for x
    x = 4,484,144.07/3,058.95
  6. Step 6: Final answer
    x = 1,465.91

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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.