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Finding the Fourth Proportional to 2,925.47, 4,388.82 and 977.63

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Solution

The fourth proportional to 2,925.47, 4,388.82 and 977.63 is: 1,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.47 : 4,388.82 = 977.63 : x
  2. Step 2: Convert to fraction form
    2,925.47/4,388.82 = 977.63/x
  3. Step 3: Cross multiply
    2,925.47x = 4,388.82 × 977.63
  4. Step 4: Simplify right side
    2,925.47x = 4,290,616.49
  5. Step 5: Solve for x
    x = 4,290,616.49/2,925.47
  6. Step 6: Final answer
    x = 1,466.64

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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.