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Finding the Fourth Proportional to 1,904.63, 2,841.57 and 1,696.86

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Solution

The fourth proportional to 1,904.63, 2,841.57 and 1,696.86 is: 2,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.63 : 2,841.57 = 1,696.86 : x
  2. Step 2: Convert to fraction form
    1,904.63/2,841.57 = 1,696.86/x
  3. Step 3: Cross multiply
    1,904.63x = 2,841.57 × 1,696.86
  4. Step 4: Simplify right side
    1,904.63x = 4,821,746.47
  5. Step 5: Solve for x
    x = 4,821,746.47/1,904.63
  6. Step 6: Final answer
    x = 2,531.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.