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Finding the Fourth Proportional to 2,925.36, 4,386.57 and 976.86

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Solution

The fourth proportional to 2,925.36, 4,386.57 and 976.86 is: 1,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.36 : 4,386.57 = 976.86 : x
  2. Step 2: Convert to fraction form
    2,925.36/4,386.57 = 976.86/x
  3. Step 3: Cross multiply
    2,925.36x = 4,386.57 × 976.86
  4. Step 4: Simplify right side
    2,925.36x = 4,285,064.77
  5. Step 5: Solve for x
    x = 4,285,064.77/2,925.36
  6. Step 6: Final answer
    x = 1,464.80

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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.