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Finding the Fourth Proportional to 1,344.48, 1,852.08 and 1,148.64

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Solution

The fourth proportional to 1,344.48, 1,852.08 and 1,148.64 is: 1,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.48 : 1,852.08 = 1,148.64 : x
  2. Step 2: Convert to fraction form
    1,344.48/1,852.08 = 1,148.64/x
  3. Step 3: Cross multiply
    1,344.48x = 1,852.08 × 1,148.64
  4. Step 4: Simplify right side
    1,344.48x = 2,127,373.17
  5. Step 5: Solve for x
    x = 2,127,373.17/1,344.48
  6. Step 6: Final answer
    x = 1,582.30

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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.