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Finding the Fourth Proportional to 2,053.18, 3,075.66 and 956.02

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Solution

The fourth proportional to 2,053.18, 3,075.66 and 956.02 is: 1,432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.18 : 3,075.66 = 956.02 : x
  2. Step 2: Convert to fraction form
    2,053.18/3,075.66 = 956.02/x
  3. Step 3: Cross multiply
    2,053.18x = 3,075.66 × 956.02
  4. Step 4: Simplify right side
    2,053.18x = 2,940,392.47
  5. Step 5: Solve for x
    x = 2,940,392.47/2,053.18
  6. Step 6: Final answer
    x = 1,432.12

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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.