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Finding the Fourth Proportional to 1,678.94, 2,316.75 and 970.67

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Solution

The fourth proportional to 1,678.94, 2,316.75 and 970.67 is: 1,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.94 : 2,316.75 = 970.67 : x
  2. Step 2: Convert to fraction form
    1,678.94/2,316.75 = 970.67/x
  3. Step 3: Cross multiply
    1,678.94x = 2,316.75 × 970.67
  4. Step 4: Simplify right side
    1,678.94x = 2,248,800.47
  5. Step 5: Solve for x
    x = 2,248,800.47/1,678.94
  6. Step 6: Final answer
    x = 1,339.42

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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.