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Finding the Fourth Proportional to 2,445.51, 3,668.30 and 802.18

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Solution

The fourth proportional to 2,445.51, 3,668.30 and 802.18 is: 1,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.51 : 3,668.30 = 802.18 : x
  2. Step 2: Convert to fraction form
    2,445.51/3,668.30 = 802.18/x
  3. Step 3: Cross multiply
    2,445.51x = 3,668.30 × 802.18
  4. Step 4: Simplify right side
    2,445.51x = 2,942,636.89
  5. Step 5: Solve for x
    x = 2,942,636.89/2,445.51
  6. Step 6: Final answer
    x = 1,203.28

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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.