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Finding the Fourth Proportional to 1,880.78, 2,823.00 and 907.57

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Solution

The fourth proportional to 1,880.78, 2,823.00 and 907.57 is: 1,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.78 : 2,823.00 = 907.57 : x
  2. Step 2: Convert to fraction form
    1,880.78/2,823.00 = 907.57/x
  3. Step 3: Cross multiply
    1,880.78x = 2,823.00 × 907.57
  4. Step 4: Simplify right side
    1,880.78x = 2,562,051.46
  5. Step 5: Solve for x
    x = 2,562,051.46/1,880.78
  6. Step 6: Final answer
    x = 1,362.23

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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.