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Finding the Fourth Proportional to 1,733.69, 2,392.51 and 947.74

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Solution

The fourth proportional to 1,733.69, 2,392.51 and 947.74 is: 1,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.69 : 2,392.51 = 947.74 : x
  2. Step 2: Convert to fraction form
    1,733.69/2,392.51 = 947.74/x
  3. Step 3: Cross multiply
    1,733.69x = 2,392.51 × 947.74
  4. Step 4: Simplify right side
    1,733.69x = 2,267,477.43
  5. Step 5: Solve for x
    x = 2,267,477.43/1,733.69
  6. Step 6: Final answer
    x = 1,307.89

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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.