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Finding the Fourth Proportional to 2,952.95, 4,075.07 and 1,774.01

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Solution

The fourth proportional to 2,952.95, 4,075.07 and 1,774.01 is: 2,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.95 : 4,075.07 = 1,774.01 : x
  2. Step 2: Convert to fraction form
    2,952.95/4,075.07 = 1,774.01/x
  3. Step 3: Cross multiply
    2,952.95x = 4,075.07 × 1,774.01
  4. Step 4: Simplify right side
    2,952.95x = 7,229,216.25
  5. Step 5: Solve for x
    x = 7,229,216.25/2,952.95
  6. Step 6: Final answer
    x = 2,448.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.