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Finding the Fourth Proportional to 1,507, 2,080.22 and 1,135.06

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Solution

The fourth proportional to 1,507, 2,080.22 and 1,135.06 is: 1,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507 : 2,080.22 = 1,135.06 : x
  2. Step 2: Convert to fraction form
    1,507/2,080.22 = 1,135.06/x
  3. Step 3: Cross multiply
    1,507x = 2,080.22 × 1,135.06
  4. Step 4: Simplify right side
    1,507x = 2,361,174.51
  5. Step 5: Solve for x
    x = 2,361,174.51/1,507
  6. Step 6: Final answer
    x = 1,566.80

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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.