Home / 1,985.34-2,975.58-1,407

Finding the Fourth Proportional to 1,985.34, 2,975.58 and 1,407

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Solution

The fourth proportional to 1,985.34, 2,975.58 and 1,407 is: 2,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.34 : 2,975.58 = 1,407 : x
  2. Step 2: Convert to fraction form
    1,985.34/2,975.58 = 1,407/x
  3. Step 3: Cross multiply
    1,985.34x = 2,975.58 × 1,407
  4. Step 4: Simplify right side
    1,985.34x = 4,186,641.06
  5. Step 5: Solve for x
    x = 4,186,641.06/1,985.34
  6. Step 6: Final answer
    x = 2,108.78

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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.