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Finding the Fourth Proportional to 1,536.16, 2,303.76 and 670.24

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Solution

The fourth proportional to 1,536.16, 2,303.76 and 670.24 is: 1,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.16 : 2,303.76 = 670.24 : x
  2. Step 2: Convert to fraction form
    1,536.16/2,303.76 = 670.24/x
  3. Step 3: Cross multiply
    1,536.16x = 2,303.76 × 670.24
  4. Step 4: Simplify right side
    1,536.16x = 1,544,072.10
  5. Step 5: Solve for x
    x = 1,544,072.10/1,536.16
  6. Step 6: Final answer
    x = 1,005.15

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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.