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Finding the Fourth Proportional to 1,829.47, 2,740.76 and 903.95

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Solution

The fourth proportional to 1,829.47, 2,740.76 and 903.95 is: 1,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.47 : 2,740.76 = 903.95 : x
  2. Step 2: Convert to fraction form
    1,829.47/2,740.76 = 903.95/x
  3. Step 3: Cross multiply
    1,829.47x = 2,740.76 × 903.95
  4. Step 4: Simplify right side
    1,829.47x = 2,477,510.00
  5. Step 5: Solve for x
    x = 2,477,510.00/1,829.47
  6. Step 6: Final answer
    x = 1,354.22

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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.