Home / 1,417.50-2,123.88-1,004.64

Finding the Fourth Proportional to 1,417.50, 2,123.88 and 1,004.64

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Solution

The fourth proportional to 1,417.50, 2,123.88 and 1,004.64 is: 1,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.50 : 2,123.88 = 1,004.64 : x
  2. Step 2: Convert to fraction form
    1,417.50/2,123.88 = 1,004.64/x
  3. Step 3: Cross multiply
    1,417.50x = 2,123.88 × 1,004.64
  4. Step 4: Simplify right side
    1,417.50x = 2,133,734.80
  5. Step 5: Solve for x
    x = 2,133,734.80/1,417.50
  6. Step 6: Final answer
    x = 1,505.28

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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.