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Finding the Fourth Proportional to 2,357.84, 3,528.12 and 1,586

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Solution

The fourth proportional to 2,357.84, 3,528.12 and 1,586 is: 2,373.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.84 : 3,528.12 = 1,586 : x
  2. Step 2: Convert to fraction form
    2,357.84/3,528.12 = 1,586/x
  3. Step 3: Cross multiply
    2,357.84x = 3,528.12 × 1,586
  4. Step 4: Simplify right side
    2,357.84x = 5,595,598.32
  5. Step 5: Solve for x
    x = 5,595,598.32/2,357.84
  6. Step 6: Final answer
    x = 2,373.19

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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.