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Finding the Fourth Proportional to 1,830, 2,526.54 and 1,270.28

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Solution

The fourth proportional to 1,830, 2,526.54 and 1,270.28 is: 1,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830 : 2,526.54 = 1,270.28 : x
  2. Step 2: Convert to fraction form
    1,830/2,526.54 = 1,270.28/x
  3. Step 3: Cross multiply
    1,830x = 2,526.54 × 1,270.28
  4. Step 4: Simplify right side
    1,830x = 3,209,413.23
  5. Step 5: Solve for x
    x = 3,209,413.23/1,830
  6. Step 6: Final answer
    x = 1,753.78

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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.