Home / 1,723.04-2,377.80-1,024.40

Finding the Fourth Proportional to 1,723.04, 2,377.80 and 1,024.40

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Solution

The fourth proportional to 1,723.04, 2,377.80 and 1,024.40 is: 1,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.04 : 2,377.80 = 1,024.40 : x
  2. Step 2: Convert to fraction form
    1,723.04/2,377.80 = 1,024.40/x
  3. Step 3: Cross multiply
    1,723.04x = 2,377.80 × 1,024.40
  4. Step 4: Simplify right side
    1,723.04x = 2,435,818.32
  5. Step 5: Solve for x
    x = 2,435,818.32/1,723.04
  6. Step 6: Final answer
    x = 1,413.67

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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.