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Finding the Fourth Proportional to 1,959.48, 2,703.98 and 1,075.11

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Solution

The fourth proportional to 1,959.48, 2,703.98 and 1,075.11 is: 1,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.48 : 2,703.98 = 1,075.11 : x
  2. Step 2: Convert to fraction form
    1,959.48/2,703.98 = 1,075.11/x
  3. Step 3: Cross multiply
    1,959.48x = 2,703.98 × 1,075.11
  4. Step 4: Simplify right side
    1,959.48x = 2,907,068.49
  5. Step 5: Solve for x
    x = 2,907,068.49/1,959.48
  6. Step 6: Final answer
    x = 1,483.59

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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.