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Finding the Fourth Proportional to 2,445.94, 3,668.52 and 802.47

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Solution

The fourth proportional to 2,445.94, 3,668.52 and 802.47 is: 1,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.94 : 3,668.52 = 802.47 : x
  2. Step 2: Convert to fraction form
    2,445.94/3,668.52 = 802.47/x
  3. Step 3: Cross multiply
    2,445.94x = 3,668.52 × 802.47
  4. Step 4: Simplify right side
    2,445.94x = 2,943,877.24
  5. Step 5: Solve for x
    x = 2,943,877.24/2,445.94
  6. Step 6: Final answer
    x = 1,203.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.