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Finding the Fourth Proportional to 2,384.47, 3,290.52 and 1,307.73

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Solution

The fourth proportional to 2,384.47, 3,290.52 and 1,307.73 is: 1,804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.47 : 3,290.52 = 1,307.73 : x
  2. Step 2: Convert to fraction form
    2,384.47/3,290.52 = 1,307.73/x
  3. Step 3: Cross multiply
    2,384.47x = 3,290.52 × 1,307.73
  4. Step 4: Simplify right side
    2,384.47x = 4,303,111.72
  5. Step 5: Solve for x
    x = 4,303,111.72/2,384.47
  6. Step 6: Final answer
    x = 1,804.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.