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Finding the Fourth Proportional to 2,802.96, 4,207.03 and 1,417.26

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Solution

The fourth proportional to 2,802.96, 4,207.03 and 1,417.26 is: 2,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.96 : 4,207.03 = 1,417.26 : x
  2. Step 2: Convert to fraction form
    2,802.96/4,207.03 = 1,417.26/x
  3. Step 3: Cross multiply
    2,802.96x = 4,207.03 × 1,417.26
  4. Step 4: Simplify right side
    2,802.96x = 5,962,455.34
  5. Step 5: Solve for x
    x = 5,962,455.34/2,802.96
  6. Step 6: Final answer
    x = 2,127.20

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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.