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Finding the Fourth Proportional to 1,666.17, 2,297.57 and 1,075.68

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Solution

The fourth proportional to 1,666.17, 2,297.57 and 1,075.68 is: 1,483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.17 : 2,297.57 = 1,075.68 : x
  2. Step 2: Convert to fraction form
    1,666.17/2,297.57 = 1,075.68/x
  3. Step 3: Cross multiply
    1,666.17x = 2,297.57 × 1,075.68
  4. Step 4: Simplify right side
    1,666.17x = 2,471,444.72
  5. Step 5: Solve for x
    x = 2,471,444.72/1,666.17
  6. Step 6: Final answer
    x = 1,483.31

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1.5x scale

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.