Home / 1,988.37-2,982.35-507.60

Finding the Fourth Proportional to 1,988.37, 2,982.35 and 507.60

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Solution

The fourth proportional to 1,988.37, 2,982.35 and 507.60 is: 761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.37 : 2,982.35 = 507.60 : x
  2. Step 2: Convert to fraction form
    1,988.37/2,982.35 = 507.60/x
  3. Step 3: Cross multiply
    1,988.37x = 2,982.35 × 507.60
  4. Step 4: Simplify right side
    1,988.37x = 1,513,838.32
  5. Step 5: Solve for x
    x = 1,513,838.32/1,988.37
  6. Step 6: Final answer
    x = 761.35

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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.