Home / 1,688.40-2,329.70-942.20

Finding the Fourth Proportional to 1,688.40, 2,329.70 and 942.20

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Solution

The fourth proportional to 1,688.40, 2,329.70 and 942.20 is: 1,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.40 : 2,329.70 = 942.20 : x
  2. Step 2: Convert to fraction form
    1,688.40/2,329.70 = 942.20/x
  3. Step 3: Cross multiply
    1,688.40x = 2,329.70 × 942.20
  4. Step 4: Simplify right side
    1,688.40x = 2,195,043.34
  5. Step 5: Solve for x
    x = 2,195,043.34/1,688.40
  6. Step 6: Final answer
    x = 1,300.07

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1.5x scale

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.