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Finding the Fourth Proportional to 2,962.64, 4,090.08 and 1,784

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Solution

The fourth proportional to 2,962.64, 4,090.08 and 1,784 is: 2,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.64 : 4,090.08 = 1,784 : x
  2. Step 2: Convert to fraction form
    2,962.64/4,090.08 = 1,784/x
  3. Step 3: Cross multiply
    2,962.64x = 4,090.08 × 1,784
  4. Step 4: Simplify right side
    2,962.64x = 7,296,702.72
  5. Step 5: Solve for x
    x = 7,296,702.72/2,962.64
  6. Step 6: Final answer
    x = 2,462.91

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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.