Home / 1,655.14-2,283.96-909.08

Finding the Fourth Proportional to 1,655.14, 2,283.96 and 909.08

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Solution

The fourth proportional to 1,655.14, 2,283.96 and 909.08 is: 1,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.14 : 2,283.96 = 909.08 : x
  2. Step 2: Convert to fraction form
    1,655.14/2,283.96 = 909.08/x
  3. Step 3: Cross multiply
    1,655.14x = 2,283.96 × 909.08
  4. Step 4: Simplify right side
    1,655.14x = 2,076,302.36
  5. Step 5: Solve for x
    x = 2,076,302.36/1,655.14
  6. Step 6: Final answer
    x = 1,254.46

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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.