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Finding the Fourth Proportional to 2,503.68, 3,740.16 and 1,804.38

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Solution

The fourth proportional to 2,503.68, 3,740.16 and 1,804.38 is: 2,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.68 : 3,740.16 = 1,804.38 : x
  2. Step 2: Convert to fraction form
    2,503.68/3,740.16 = 1,804.38/x
  3. Step 3: Cross multiply
    2,503.68x = 3,740.16 × 1,804.38
  4. Step 4: Simplify right side
    2,503.68x = 6,748,669.90
  5. Step 5: Solve for x
    x = 6,748,669.90/2,503.68
  6. Step 6: Final answer
    x = 2,695.50

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Why These Related Problems?

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