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Finding the Fourth Proportional to 2,359.96, 3,530.70 and 1,703.10

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Solution

The fourth proportional to 2,359.96, 3,530.70 and 1,703.10 is: 2,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.96 : 3,530.70 = 1,703.10 : x
  2. Step 2: Convert to fraction form
    2,359.96/3,530.70 = 1,703.10/x
  3. Step 3: Cross multiply
    2,359.96x = 3,530.70 × 1,703.10
  4. Step 4: Simplify right side
    2,359.96x = 6,013,135.17
  5. Step 5: Solve for x
    x = 6,013,135.17/2,359.96
  6. Step 6: Final answer
    x = 2,547.98

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1.5x scale

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.