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Finding the Fourth Proportional to 1,875.64, 2,588.08 and 1,089.68

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Solution

The fourth proportional to 1,875.64, 2,588.08 and 1,089.68 is: 1,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.64 : 2,588.08 = 1,089.68 : x
  2. Step 2: Convert to fraction form
    1,875.64/2,588.08 = 1,089.68/x
  3. Step 3: Cross multiply
    1,875.64x = 2,588.08 × 1,089.68
  4. Step 4: Simplify right side
    1,875.64x = 2,820,179.01
  5. Step 5: Solve for x
    x = 2,820,179.01/1,875.64
  6. Step 6: Final answer
    x = 1,503.58

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1.5x scale

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.