Home / 1,504.12-2,075.88-981.67

Finding the Fourth Proportional to 1,504.12, 2,075.88 and 981.67

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Solution

The fourth proportional to 1,504.12, 2,075.88 and 981.67 is: 1,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.12 : 2,075.88 = 981.67 : x
  2. Step 2: Convert to fraction form
    1,504.12/2,075.88 = 981.67/x
  3. Step 3: Cross multiply
    1,504.12x = 2,075.88 × 981.67
  4. Step 4: Simplify right side
    1,504.12x = 2,037,829.12
  5. Step 5: Solve for x
    x = 2,037,829.12/1,504.12
  6. Step 6: Final answer
    x = 1,354.83

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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.