Home / 1,564.56-2,343.60-1,075.32

Finding the Fourth Proportional to 1,564.56, 2,343.60 and 1,075.32

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Solution

The fourth proportional to 1,564.56, 2,343.60 and 1,075.32 is: 1,610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.56 : 2,343.60 = 1,075.32 : x
  2. Step 2: Convert to fraction form
    1,564.56/2,343.60 = 1,075.32/x
  3. Step 3: Cross multiply
    1,564.56x = 2,343.60 × 1,075.32
  4. Step 4: Simplify right side
    1,564.56x = 2,520,119.95
  5. Step 5: Solve for x
    x = 2,520,119.95/1,564.56
  6. Step 6: Final answer
    x = 1,610.75

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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.