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Finding the Fourth Proportional to 3,075.40, 4,614.54 and 1,779.40

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Solution

The fourth proportional to 3,075.40, 4,614.54 and 1,779.40 is: 2,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.40 : 4,614.54 = 1,779.40 : x
  2. Step 2: Convert to fraction form
    3,075.40/4,614.54 = 1,779.40/x
  3. Step 3: Cross multiply
    3,075.40x = 4,614.54 × 1,779.40
  4. Step 4: Simplify right side
    3,075.40x = 8,211,112.48
  5. Step 5: Solve for x
    x = 8,211,112.48/3,075.40
  6. Step 6: Final answer
    x = 2,669.93

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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.