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Finding the Fourth Proportional to 1,457.63, 2,184.85 and 909.06

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Solution

The fourth proportional to 1,457.63, 2,184.85 and 909.06 is: 1,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.63 : 2,184.85 = 909.06 : x
  2. Step 2: Convert to fraction form
    1,457.63/2,184.85 = 909.06/x
  3. Step 3: Cross multiply
    1,457.63x = 2,184.85 × 909.06
  4. Step 4: Simplify right side
    1,457.63x = 1,986,159.74
  5. Step 5: Solve for x
    x = 1,986,159.74/1,457.63
  6. Step 6: Final answer
    x = 1,362.60

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1.5x scale

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.