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Finding the Fourth Proportional to 1,709.47, 2,564.58 and 930.17

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Solution

The fourth proportional to 1,709.47, 2,564.58 and 930.17 is: 1,395.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.47 : 2,564.58 = 930.17 : x
  2. Step 2: Convert to fraction form
    1,709.47/2,564.58 = 930.17/x
  3. Step 3: Cross multiply
    1,709.47x = 2,564.58 × 930.17
  4. Step 4: Simplify right side
    1,709.47x = 2,385,495.38
  5. Step 5: Solve for x
    x = 2,385,495.38/1,709.47
  6. Step 6: Final answer
    x = 1,395.46

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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.