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Finding the Fourth Proportional to 2,466.61, 3,698.89 and 1,004.77

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Solution

The fourth proportional to 2,466.61, 3,698.89 and 1,004.77 is: 1,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.61 : 3,698.89 = 1,004.77 : x
  2. Step 2: Convert to fraction form
    2,466.61/3,698.89 = 1,004.77/x
  3. Step 3: Cross multiply
    2,466.61x = 3,698.89 × 1,004.77
  4. Step 4: Simplify right side
    2,466.61x = 3,716,533.71
  5. Step 5: Solve for x
    x = 3,716,533.71/2,466.61
  6. Step 6: Final answer
    x = 1,506.74

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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.