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Finding the Fourth Proportional to 2,075.77, 3,113.35 and 595.09

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Solution

The fourth proportional to 2,075.77, 3,113.35 and 595.09 is: 892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.77 : 3,113.35 = 595.09 : x
  2. Step 2: Convert to fraction form
    2,075.77/3,113.35 = 595.09/x
  3. Step 3: Cross multiply
    2,075.77x = 3,113.35 × 595.09
  4. Step 4: Simplify right side
    2,075.77x = 1,852,714.18
  5. Step 5: Solve for x
    x = 1,852,714.18/2,075.77
  6. Step 6: Final answer
    x = 892.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.