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Finding the Fourth Proportional to 3,004.37, 4,506.56 and 924.35

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Solution

The fourth proportional to 3,004.37, 4,506.56 and 924.35 is: 1,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.37 : 4,506.56 = 924.35 : x
  2. Step 2: Convert to fraction form
    3,004.37/4,506.56 = 924.35/x
  3. Step 3: Cross multiply
    3,004.37x = 4,506.56 × 924.35
  4. Step 4: Simplify right side
    3,004.37x = 4,165,656.72
  5. Step 5: Solve for x
    x = 4,165,656.72/3,004.37
  6. Step 6: Final answer
    x = 1,386.53

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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.