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Finding the Fourth Proportional to 2,894.53, 4,341.88 and 1,802.05

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Solution

The fourth proportional to 2,894.53, 4,341.88 and 1,802.05 is: 2,703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.53 : 4,341.88 = 1,802.05 : x
  2. Step 2: Convert to fraction form
    2,894.53/4,341.88 = 1,802.05/x
  3. Step 3: Cross multiply
    2,894.53x = 4,341.88 × 1,802.05
  4. Step 4: Simplify right side
    2,894.53x = 7,824,275.84
  5. Step 5: Solve for x
    x = 7,824,275.84/2,894.53
  6. Step 6: Final answer
    x = 2,703.12

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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.