Home / 1,465.48-2,023.14-1,023.76

Finding the Fourth Proportional to 1,465.48, 2,023.14 and 1,023.76

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Solution

The fourth proportional to 1,465.48, 2,023.14 and 1,023.76 is: 1,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.48 : 2,023.14 = 1,023.76 : x
  2. Step 2: Convert to fraction form
    1,465.48/2,023.14 = 1,023.76/x
  3. Step 3: Cross multiply
    1,465.48x = 2,023.14 × 1,023.76
  4. Step 4: Simplify right side
    1,465.48x = 2,071,209.81
  5. Step 5: Solve for x
    x = 2,071,209.81/1,465.48
  6. Step 6: Final answer
    x = 1,413.33

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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.