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Finding the Fourth Proportional to 1,210.16, 1,806.54 and 1,124.50

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Solution

The fourth proportional to 1,210.16, 1,806.54 and 1,124.50 is: 1,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.16 : 1,806.54 = 1,124.50 : x
  2. Step 2: Convert to fraction form
    1,210.16/1,806.54 = 1,124.50/x
  3. Step 3: Cross multiply
    1,210.16x = 1,806.54 × 1,124.50
  4. Step 4: Simplify right side
    1,210.16x = 2,031,454.23
  5. Step 5: Solve for x
    x = 2,031,454.23/1,210.16
  6. Step 6: Final answer
    x = 1,678.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.