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Finding the Fourth Proportional to 2,075.32, 3,113.58 and 776.89

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Solution

The fourth proportional to 2,075.32, 3,113.58 and 776.89 is: 1,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.32 : 3,113.58 = 776.89 : x
  2. Step 2: Convert to fraction form
    2,075.32/3,113.58 = 776.89/x
  3. Step 3: Cross multiply
    2,075.32x = 3,113.58 × 776.89
  4. Step 4: Simplify right side
    2,075.32x = 2,418,909.17
  5. Step 5: Solve for x
    x = 2,418,909.17/2,075.32
  6. Step 6: Final answer
    x = 1,165.56

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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.