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Finding the Fourth Proportional to 1,354.80, 1,867.61 and 1,075.10

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Solution

The fourth proportional to 1,354.80, 1,867.61 and 1,075.10 is: 1,482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.80 : 1,867.61 = 1,075.10 : x
  2. Step 2: Convert to fraction form
    1,354.80/1,867.61 = 1,075.10/x
  3. Step 3: Cross multiply
    1,354.80x = 1,867.61 × 1,075.10
  4. Step 4: Simplify right side
    1,354.80x = 2,007,852.80
  5. Step 5: Solve for x
    x = 2,007,852.80/1,354.80
  6. Step 6: Final answer
    x = 1,482.03

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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.