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Finding the Fourth Proportional to 1,530.84, 2,285.16 and 1,416.63

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Solution

The fourth proportional to 1,530.84, 2,285.16 and 1,416.63 is: 2,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.84 : 2,285.16 = 1,416.63 : x
  2. Step 2: Convert to fraction form
    1,530.84/2,285.16 = 1,416.63/x
  3. Step 3: Cross multiply
    1,530.84x = 2,285.16 × 1,416.63
  4. Step 4: Simplify right side
    1,530.84x = 3,237,226.21
  5. Step 5: Solve for x
    x = 3,237,226.21/1,530.84
  6. Step 6: Final answer
    x = 2,114.67

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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.