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Finding the Fourth Proportional to 1,703, 2,348.88 and 1,030.34

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Solution

The fourth proportional to 1,703, 2,348.88 and 1,030.34 is: 1,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703 : 2,348.88 = 1,030.34 : x
  2. Step 2: Convert to fraction form
    1,703/2,348.88 = 1,030.34/x
  3. Step 3: Cross multiply
    1,703x = 2,348.88 × 1,030.34
  4. Step 4: Simplify right side
    1,703x = 2,420,145.02
  5. Step 5: Solve for x
    x = 2,420,145.02/1,703
  6. Step 6: Final answer
    x = 1,421.11

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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.