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Finding the Fourth Proportional to 2,804.40, 4,206.51 and 1,160.46

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Solution

The fourth proportional to 2,804.40, 4,206.51 and 1,160.46 is: 1,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.40 : 4,206.51 = 1,160.46 : x
  2. Step 2: Convert to fraction form
    2,804.40/4,206.51 = 1,160.46/x
  3. Step 3: Cross multiply
    2,804.40x = 4,206.51 × 1,160.46
  4. Step 4: Simplify right side
    2,804.40x = 4,881,486.59
  5. Step 5: Solve for x
    x = 4,881,486.59/2,804.40
  6. Step 6: Final answer
    x = 1,740.65

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