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Finding the Fourth Proportional to 1,664.93, 2,296.61 and 1,075.80

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Solution

The fourth proportional to 1,664.93, 2,296.61 and 1,075.80 is: 1,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.93 : 2,296.61 = 1,075.80 : x
  2. Step 2: Convert to fraction form
    1,664.93/2,296.61 = 1,075.80/x
  3. Step 3: Cross multiply
    1,664.93x = 2,296.61 × 1,075.80
  4. Step 4: Simplify right side
    1,664.93x = 2,470,693.04
  5. Step 5: Solve for x
    x = 2,470,693.04/1,664.93
  6. Step 6: Final answer
    x = 1,483.96

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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.