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Finding the Fourth Proportional to 2,014.51, 2,780.08 and 1,130.34

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Solution

The fourth proportional to 2,014.51, 2,780.08 and 1,130.34 is: 1,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.51 : 2,780.08 = 1,130.34 : x
  2. Step 2: Convert to fraction form
    2,014.51/2,780.08 = 1,130.34/x
  3. Step 3: Cross multiply
    2,014.51x = 2,780.08 × 1,130.34
  4. Step 4: Simplify right side
    2,014.51x = 3,142,435.63
  5. Step 5: Solve for x
    x = 3,142,435.63/2,014.51
  6. Step 6: Final answer
    x = 1,559.90

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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.