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Finding the Fourth Proportional to 1,505.78, 2,075.76 and 1,132.77

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Solution

The fourth proportional to 1,505.78, 2,075.76 and 1,132.77 is: 1,561.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.78 : 2,075.76 = 1,132.77 : x
  2. Step 2: Convert to fraction form
    1,505.78/2,075.76 = 1,132.77/x
  3. Step 3: Cross multiply
    1,505.78x = 2,075.76 × 1,132.77
  4. Step 4: Simplify right side
    1,505.78x = 2,351,358.66
  5. Step 5: Solve for x
    x = 2,351,358.66/1,505.78
  6. Step 6: Final answer
    x = 1,561.56

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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.