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Finding the Fourth Proportional to 1,914.76, 2,642.66 and 1,075.54

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Solution

The fourth proportional to 1,914.76, 2,642.66 and 1,075.54 is: 1,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.76 : 2,642.66 = 1,075.54 : x
  2. Step 2: Convert to fraction form
    1,914.76/2,642.66 = 1,075.54/x
  3. Step 3: Cross multiply
    1,914.76x = 2,642.66 × 1,075.54
  4. Step 4: Simplify right side
    1,914.76x = 2,842,291.79
  5. Step 5: Solve for x
    x = 2,842,291.79/1,914.76
  6. Step 6: Final answer
    x = 1,484.41

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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.