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Finding the Fourth Proportional to 3,302.70, 4,557.75 and 1,810.63

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Solution

The fourth proportional to 3,302.70, 4,557.75 and 1,810.63 is: 2,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.70 : 4,557.75 = 1,810.63 : x
  2. Step 2: Convert to fraction form
    3,302.70/4,557.75 = 1,810.63/x
  3. Step 3: Cross multiply
    3,302.70x = 4,557.75 × 1,810.63
  4. Step 4: Simplify right side
    3,302.70x = 8,252,368.32
  5. Step 5: Solve for x
    x = 8,252,368.32/3,302.70
  6. Step 6: Final answer
    x = 2,498.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.