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Finding the Fourth Proportional to 3,075.01, 4,242.30 and 1,894.03

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Solution

The fourth proportional to 3,075.01, 4,242.30 and 1,894.03 is: 2,613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.01 : 4,242.30 = 1,894.03 : x
  2. Step 2: Convert to fraction form
    3,075.01/4,242.30 = 1,894.03/x
  3. Step 3: Cross multiply
    3,075.01x = 4,242.30 × 1,894.03
  4. Step 4: Simplify right side
    3,075.01x = 8,035,043.47
  5. Step 5: Solve for x
    x = 8,035,043.47/3,075.01
  6. Step 6: Final answer
    x = 2,613.01

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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.