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Finding the Fourth Proportional to 1,419.89, 2,130.18 and 1,128.49

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Solution

The fourth proportional to 1,419.89, 2,130.18 and 1,128.49 is: 1,693.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.89 : 2,130.18 = 1,128.49 : x
  2. Step 2: Convert to fraction form
    1,419.89/2,130.18 = 1,128.49/x
  3. Step 3: Cross multiply
    1,419.89x = 2,130.18 × 1,128.49
  4. Step 4: Simplify right side
    1,419.89x = 2,403,881.50
  5. Step 5: Solve for x
    x = 2,403,881.50/1,419.89
  6. Step 6: Final answer
    x = 1,693.01

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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.