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Finding the Fourth Proportional to 2,827.02, 4,239.32 and 1,510.49

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Solution

The fourth proportional to 2,827.02, 4,239.32 and 1,510.49 is: 2,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.02 : 4,239.32 = 1,510.49 : x
  2. Step 2: Convert to fraction form
    2,827.02/4,239.32 = 1,510.49/x
  3. Step 3: Cross multiply
    2,827.02x = 4,239.32 × 1,510.49
  4. Step 4: Simplify right side
    2,827.02x = 6,403,421.72
  5. Step 5: Solve for x
    x = 6,403,421.72/2,827.02
  6. Step 6: Final answer
    x = 2,265.08

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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.