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Finding the Fourth Proportional to 3,058.32, 4,585.23 and 977.13

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Solution

The fourth proportional to 3,058.32, 4,585.23 and 977.13 is: 1,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.32 : 4,585.23 = 977.13 : x
  2. Step 2: Convert to fraction form
    3,058.32/4,585.23 = 977.13/x
  3. Step 3: Cross multiply
    3,058.32x = 4,585.23 × 977.13
  4. Step 4: Simplify right side
    3,058.32x = 4,480,365.79
  5. Step 5: Solve for x
    x = 4,480,365.79/3,058.32
  6. Step 6: Final answer
    x = 1,464.98

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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.